I don't think so. Both the GOG and its Steam page mention that it does have single-player. Searching a bit through its Steam discussions pages, it seems that the game does have skirmishes against the AI, but no campaign as of yet.

Then you might want to reword it.
You can, for example, reuse what you wrote for Galactic Civilizations III: "Broadband connection for Internet multiplayer".
Or for Age of Wonders 3: "open internet connection for online multiplayer".

And is the single player currently active, or is that a "to be added" feature?

Single-player skirmish is currently active, while a single-player campaign will be added closer to its release.

It's a bit different, since both you mentioned are real single player games with multiplayer modes.

Ashes of the Singularity currently seems to be multiplayer game only. With AI bots for lonely people. More like an RTS equivalent of Q3A or UT. I think the statement as is - is justified for now. AI bots/skirmish is just a fallback, really, or "training".

But it should be made more clear probably, that there is no real (campaign) SP mode currently. I think that's a thing that has to figured out with time. GOG has to implement some easily updateable section on the game page that makes clear what the game in the current state can do and what not and what's upcoming, so that people spending money are not deceived.

This game is a perfect example. Many people might expect an almost fully functional game ("Beta"), with maybe some glitches, some features and a little content missing. For many people (especially here) the campaign mode is "the game". Having that missing without warning will put people off. But selling the now as "multiplayer" will also make people lose interest who just say "no single player story - not for me".

With this "In development" stuff it has to me made very clear a) what people can expect from the current version, and b) what the final game is supposed to be like.

From MaGog's logs for 15 February (part 1 of 2):

NOTE! MISSING GAME from catalogue: 1207660723 Downfall





NOTE! Probably CHANGED FILE Ashes of the Singularity [In Dev], all_files, Windows installer, English (part 1/2 of 2), dl_ver: 0.80.16287 (gog-3) ***TO*** 0.82.021016 (gog-6)

NOTE! Probably ADDED FILE Ashes of the Singularity [In Dev], all_files, Patch 0.82.021016 [Windows], dl_ver: ***TO*** 0.80.16287-1 (gog-3) -> 0.82.021016 (gog-6)

NOTE! CHANGED Ashes of the Singularity [In Dev], changelog (http://www.an-ovel.com/downloads/chg/chg_1447327294.htm)
NOTE! ADD +++ Patch 0.82.021016
NOTE! ADD +++ Bandwidth optimizations
NOTE! ADD +++ Fixed issues where 3D sounds were sometimes played once a frame - fixes sound issues and possibly improves performance and stability as well.
NOTE! ADD +++ Further improvements to matchmaking for better skill level matches
NOTE! ADD +++
NOTE! ADD +++ Gameplay
NOTE! ADD +++ Substrate Faction Available
NOTE! ADD +++ 30+ new units and buildings
NOTE! ADD +++ Ranked Multiplayer & Matchmaking enabled for initial testing
NOTE! ADD +++ Dreadnaught Progression System
NOTE! ADD +++ Choose new abilities to unlock for Dreadnought Class units as they gain experience
NOTE! ADD +++ Army buffs now come from Dreadnought unlocks, not misc units
NOTE! ADD +++ Substrate abilities still WIP
NOTE! ADD +++ New Orbital Abilities:
NOTE! ADD +++ EMP Pulse - Drops all shields in a localized area by detonating a small hydrogen weapon in the upper atmosphere.
NOTE! ADD +++ Amplify - A controlled Amplifier has its output further permanently boosted with a quantum link to your Nexus.
NOTE! ADD +++ Orbital Strike - Massive area damage.
NOTE! ADD +++ Carving Turret - A horribly powerful carving Turret is temporarily instantiated at any location you can see.
NOTE! ADD +++ Overcharge - Temporarily boost a single Power Generator or Amplifier’s output with a short-lived unstable quantum linkage.
NOTE! ADD +++ Regenerate - Quickly restores shield integrity in a small area via controlled disruption of the magnetosphere.
NOTE! ADD +++ Boost - Permanently increase a Power Generator or Amplifier’s output via careful modulation of quantum pairs. This is a repeatable process.
NOTE! ADD +++ Sensor Drone - Teleports a sensor drone in to scan the target location and provide live intelligence until it is destroyed.
NOTE! ADD +++ Drone Swarm - Gate an assault drone swarm to any location you can see with medium-range quantum teleportation.
NOTE! ADD +++ Kill - Cause incredible damage to a single unit by teleporting a swarm of destructive nanites directly into it’s inner systems.
NOTE! ADD +++ Call Avatar - Summons an armed and battle-ready scout craft from orbit.
NOTE! ADD +++ Detonate - Enormous destructive force in an area is concentrated with a sprinkling of small antimatter charges from orbit.
NOTE! ADD +++ New Nullifier Building to block enemy use of Orbital abilities in a designated area
NOTE! ADD +++ New Maps:
NOTE! ADD +++ Frozen Wastes: 4-player ice map
NOTE! ADD +++ Proving Grounds: 1v1 desert map
NOTE! ADD +++ Map Balance:
NOTE! ADD +++ More radioactives added to many maps
NOTE! ADD +++ Adjustments to Open Range
NOTE! ADD +++ Anthys significantly updated
NOTE! ADD +++ Minor fixes and adjustments to most maps
NOTE! ADD +++ Balance
NOTE! ADD +++ Some buildings have prerequisites to being built
NOTE! ADD +++ AI personality improvements
NOTE! ADD +++ Fury can now has dual pulse laser cannon for light ground attacks
NOTE! ADD +++ Misc unit and building balance adjustments
NOTE! ADD +++ Art & Graphics
NOTE! ADD +++ Polished and improved texture detail to Terran & Desert environments
NOTE! ADD +++ Polished Turinium connecting lines to be embedded in terrain
NOTE! ADD +++ Adjusted Sun position in Terran Day lighting setup
NOTE! ADD +++ Improved texture detail on PHC Seed
NOTE! ADD +++ Tweak to PHC rubber material
NOTE! ADD +++ VFX
NOTE! ADD +++ Improved Dreadnought destruction VFX
NOTE! ADD +++ Improved building destruction VFX
NOTE! ADD +++ Lingering smoke and fire VFX on damaged PHC Dreadnoughts and T2s (WIP)
NOTE! ADD +++ Camera shake added for large explosions
NOTE! ADD +++ Unit polish and differentiation
NOTE! ADD +++ Light added under engineers
NOTE! ADD +++ Lengthened PHC scout
NOTE! ADD +++ Added lighting effect to front fuselage of Zeus
NOTE! ADD +++ Adjusted other PHC unit sizings and maps
NOTE! ADD +++
NOTE! ADD +++ UI
NOTE! ADD +++ Logistics upgrade button added next to logistics display
NOTE! ADD +++ Logistics value now flashes red when getting low
NOTE! ADD +++ Empire Tree only shows after control groups have been made
NOTE! ADD +++ Selected unit window now displays information for Armies
NOTE! ADD +++ UI menus now fade in/out
NOTE! ADD +++ Added borders to the strategic map window
NOTE! ADD +++ Minimap and strategic map region icons changed to be consistent with other resource icons
NOTE! ADD +++ Destination and attack UI markers now slightly smaller
NOTE! ADD +++ “Resume game” option moved to the top of the pause menu
NOTE! ADD +++ Changed in-game menu button to mach HUD style
NOTE! ADD +++ Tooltip improvements
NOTE! ADD +++ Better formatting for many weapon module tooltips
NOTE! ADD +++ Added clear tooltips and keyboard shortcut hints for Idle Factory/Engineer buttons
NOTE! ADD +++ Units with Light and Heavy Armor now have it clearly listed in their module display with descriptive tooltips
NOTE! ADD +++ Added descriptive tooltips to Construction, Quantum Upgrades, Orbital Abilities, and Form Army buttons
NOTE! ADD +++
NOTE! ADD +++ Sound
NOTE! ADD +++ Music changes when victory by Turinium Generators is nearing
NOTE! ADD +++ Construction complete sounds for buildings and units
NOTE! ADD +++ Destruction sounds increased
NOTE! ADD +++ Engine sounds decreased
NOTE! ADD +++ Multiplayer lobby sounds balanced
NOTE! ADD +++
NOTE! ADD +++ Misc
NOTE! ADD +++ Tons of bandwidth optimizations in multiplayer
NOTE! ADD +++ Detailed benchmark data now viewable in leaderboards
NOTE! ADD +++ Camera angle and zoom tweaks
NOTE! ADD +++ Performance
NOTE! ADD +++ AI perf increases
NOTE! ADD +++ Misc perf increases
NOTE! ADD +++ UI texture compression
NOTE! ADD +++ Reducing generated texture size that was unneeded for some assets
NOTE! ADD +++ Better auto-detected graphics settings
NOTE! ADD +++
NOTE! ADD +++ Stability
NOTE! ADD +++ AI stability fix
NOTE! ADD +++ Options are now cached if they require a restart, instead of setting anyways and crashing if the player doesn’t restart
NOTE! ADD +++ Empire tree crash fix
NOTE! ADD +++ Fixed various multiplayer disconnect bugs
NOTE! ADD +++ Fixed crash on player forfeit in MP games
NOTE! ADD +++ Fixed crash on entry to MP games with AI players
NOTE! ADD +++ Fixed for stability after host migration
NOTE! ADD +++ Misc crash fixes
NOTE! ADD +++
NOTE! ADD +++ Bug fixes
NOTE! ADD +++ Structure’s terrain base is now removed when the structure is destroyed
NOTE! ADD +++ Better message for failing to join a multiplayer lobby because it’s full
NOTE! ADD +++ Fix for certain weapons not finding a valid target
NOTE! ADD +++ Reskinned a variety of dialogues not using the correct visuals
NOTE! ADD +++ Better handling of resources in MP games
NOTE! ADD +++ Changed tooltip from “Tech Cost” to “Quanta Cost” for consistency
NOTE! ADD +++ Fixed bug where T2s could be ordered from a T1 factory
NOTE! ADD +++ Buildings now undo height modifications to terrain on their destruction
NOTE! ADD +++ Fixed Dreadnought lost VO playing when a Dreadnought was just removed from the queue
NOTE! ADD +++ Fixed bugs around graphics preset settings not being properly set and respected
NOTE! ADD +++ Fixed bug with graphics artifacts on snow
NOTE! ADD +++ Fix for assert on MP game invite
NOTE! ADD +++ Improved load into MP games
NOTE! ADD +++ Fix bugs related to missing or incorrectly colored capture bars
NOTE! ADD +++ Fixed bug where VP control tracker at top of UI could be out of date/inaccurate
NOTE! ADD +++ Player can now capture regions owned by an ally that has been killed
NOTE! ADD +++ Fixed texture on drones not showing up
NOTE! ADD +++ Relays visible in FoW now show their proper owner
NOTE! ADD +++ Turinium control icon no longer looks yellow when uncontrolled
NOTE! ADD +++ Don’t allow random map entry to be chosen during start game countdown
NOTE! ADD +++ Fixed scroll bar on the load game window
NOTE! ADD +++ Fix for incorrect snapping when placing 2x2 buildings

NOTE! CHANGED Ashes of the Singularity [In Dev], file_size: 2.9 GB ***TO*** 2.8 GB

From MaGog's logs for 15 February (part 2 of 2):

NOTE! Probably CHANGED FILE Darkest Dungeon, all_files, Windows installer, English, dl_ver: 13544 (gog-11) ***TO*** 13575 (gog-12)

NOTE! Probably REMOVED FILE Darkest Dungeon, all_files, Patch 13421 (gog-8) [Windows] (dl_ver: 13407 (gog-7) -> 13421 (gog-8))

NOTE! Probably ADDED FILE Darkest Dungeon, all_files, Patch 13575 (gog-12) [Windows], dl_ver: ***TO*** 13544 (gog-11) -> 13575 (gog-12)

NOTE! Probably CHANGED FILE Darkest Dungeon, all_files, Mac OS X installer, English, dl_ver: 13544 (gog-12) ***TO*** 13575 (gog-13)

NOTE! CHANGED Darkest Dungeon, changelog (http://www.an-ovel.com/downloads/chg/chg_1450711444.htm)
NOTE! ADD +++ Patch 13575 (15 February 2016)
NOTE! ADD +++ Fixed problem with disappearing or already opened curios after reloading a save game while in a battle.
NOTE! ADD +++ Fix to being stuck at 3 roster when going into dd quest and retreating out immediately with an empty stage coach. Darkest dungeon quests always progress town.
NOTE! ADD +++ Updated Polish Translation
NOTE! ADD +++ Fixed Monster and Skills Names for Spanish Translation.
NOTE! ADD +++ Fix for Special Boss Backgrounds not loading when relaunching the game.
NOTE! ADD +++ Various UI positioning tweaks. (Centering text, Text overlapping in Blacksmith)
NOTE! ADD +++ Fix problem where backer heroes would have their selected combat/camping skills reset.
NOTE! ADD +++ MAC: Fix for Control not working when trying to right click.





NOTE! CHANGED Sam & Max Save the World, age_req: ESRB Rating: Teen (with Cartoon Violence, Crude Humor, Mild Language, Use of Alcohol and Tobacco). USK Rating: Approved for children aged 6 and above. PEGI Rating: 12+ (with Bad Language) ***TO*** ESRB Rating: Teen (with Cartoon Violence, Crude Humor, Mild Language, Use of Alcohol and Tobacco). USK Rating: Approved for children aged 6 and above. PEGI Rating: 12+

From MaGog's logs for 15 February:

NOTE! CHANGED Downfall [removed on Feb 15, 2016; data from Feb 15, 2016], dl_has_message: 0 ***TO*** 1

https://www.gog.com/forum/ashes_of_the_singularity/campaign

There isn't much to go by at the moment for details.
Of course single player is working fine; the game just has galaxy enabled multiplayer. Nothing 'multiplayer only' about it, as others have thought.

Does anyone know if the Escapists Update is in the game itself or a separate download DLC like the other prisons?

I think it is in the game itself since the changelog says "Patch 1.251" and the game version next to the download now says "1.251 (GOG-7)"

Thanks Moon. :D

From MaGog's logs for 16 February:

NOTE! ADDED FILE Blackguards 2, downloadables, manual (English) (blackguards_2_manual.zip; Tue, 16 Feb 2016 11:00:16 GMT; 10,533,917)

NOTE! CHANGED Blackguards 2, bonuses: manual (German), playguide, soundtrack (FLAC), soundtrack (MP3), artbook ***TO*** manual (German), manual (English), playguide, soundtrack (FLAC), soundtrack (MP3), artbook

[No changelog]





NOTE! CHANGED FILE Escapists, The, downloadables, Original Game: Windows installer, English+French+German+Polish+Russian+Spanish (setup_escapists_2.5.0.6.exe ***TO*** setup_escapists_2.6.0.7.exe; 1.242 (gog-6) ***TO*** 1.251 (gog-7); Fri, 11 Dec 2015 16:18:51 GMT ***TO*** Tue, 16 Feb 2016 11:48:36 GMT; 89,878,712 ***TO*** 77,130,584)

NOTE! CHANGED FILE Escapists, The, downloadables, Original Game: Mac OS X installer, English+French+German+Polish+Russian+Spanish (the_escapists_2.1.0.5.dmg ***TO*** the_escapists_2.2.0.7.dmg; 1.242 (gog-5) ***TO*** 1.251 (gog-7); Fri, 11 Dec 2015 16:17:14 GMT ***TO*** Tue, 16 Feb 2016 11:49:04 GMT; 69,629,119 ***TO*** 56,832,903)

NOTE! CHANGED FILE Escapists, The, downloadables, Original Game: Linux installer, English+French+German+Polish+Russian+Spanish (gog_the_escapists_2.2.0.3.sh ***TO*** gog_the_escapists_2.3.0.4.sh; 1.242 (gog-3) ***TO*** 1.251 (gog-4); Fri, 11 Dec 2015 16:16:42 GMT ***TO*** Tue, 16 Feb 2016 11:49:16 GMT; 66,068,120 ***TO*** 53,307,203)

NOTE! REMOVED FILE Escapists, The, downloadables, DLC: Alcatraz: Mac OS X installer, English+French+German+Polish+Russian+Spanish (dlc_the_escapists_alcatraz_2.1.0.5.pkg; 1.242 (gog-5); Fri, 11 Dec 2015 16:17:14 GMT; 2,852,325)

NOTE! ADDED FILE Escapists, The, downloadables, DLC: Alcatraz: Mac OS X installer, Russian (dlc_the_escapists_alcatraz_2.2.0.7.pkg; 1.251 (gog-7); Tue, 16 Feb 2016 11:49:25 GMT; 2,850,561)

NOTE! REMOVED FILE Escapists, The, downloadables, DLC: Fhurst Peak Correctional Facility: Mac OS X installer, English+French+German+Polish+Russian+Spanish (dlc_the_escapists__fhurst_peak_correctional_facility_2.1.0.5.pkg; 1.242 (gog-5); Fri, 11 Dec 2015 16:17:33 GMT; 13,129,189)

NOTE! ADDED FILE Escapists, The, downloadables, DLC: Fhurst Peak Correctional Facility: Mac OS X installer, Russian (dlc_the_escapists__fhurst_peak_correctional_facility_2.2.0.7.pkg; 1.251 (gog-7); Tue, 16 Feb 2016 11:49:45 GMT; 13,128,974)

NOTE! REMOVED FILE Escapists, The, downloadables, DLC: Escape Team: Mac OS X installer, English+French+German+Polish+Russian+Spanish (dlc_the_escapists_escape_team_2.1.0.5.pkg; 1.242 (gog-5); Fri, 11 Dec 2015 16:17:39 GMT; 11,257,322)

NOTE! ADDED FILE Escapists, The, downloadables, DLC: Escape Team: Mac OS X installer, English (dlc_the_escapists_escape_team_2.2.0.7.pkg; 1.251 (gog-7); Tue, 16 Feb 2016 11:49:39 GMT; 11,253,220)

NOTE! ADDED FILE Escapists, The, downloadables, DLC: Escape Team: Mac OS X installer, French+German+Polish+Russian+Spanish (dlc_the_escapists_escape_team_2.1.0.5.pkg; 1.242 (gog-5); Fri, 11 Dec 2015 16:17:39 GMT; 11,257,322)

NOTE! REMOVED FILE Escapists, The, downloadables, DLC: Duct Tapes Are Forever: Mac OS X installer, English+French+German+Polish+Russian+Spanish (dlc_the_escapists__duct_tapes_are_forever_2.1.0.5.pkg; 1.242 (gog-5); Fri, 11 Dec 2015 16:17:21 GMT; 50,660)

NOTE! ADDED FILE Escapists, The, downloadables, DLC: Duct Tapes Are Forever: Mac OS X installer, Russian (dlc_the_escapists__duct_tapes_are_forever_2.2.0.7.pkg; 1.251 (gog-7); Tue, 16 Feb 2016 11:49:31 GMT; 48,419)

NOTE! CHANGED Escapists, The, changelog (http://www.an-ovel.com/downloads/chg/chg_1423221839.htm)
NOTE! ADD +++ Patch 1.251 (16 February 2016)
NOTE! ADD +++ Adds a new map (Paris Central Pen)

NOTE! CHANGED Escapists, The, file_size: 85 MB ***TO*** 73 MB

[Additionally, most of the DLCs (Windows, Mac and Linux) are now listed as Russian-only.]





NOTE! CHANGED Pillars of Eternity: The White March - Expansion Pass [Season Pass] [DLC], features: Single-player ***TO*** Single-player, Achievements

NOTE! CHANGED Pillars of Eternity: The White March - Part I [DLC], features: Single-player ***TO*** Single-player, Achievements





NOTE! CHANGED Craft The World, compatibility: Multiplayer notice: cross platform multiplayer (Windows to OS X) is not supported at this time. ***TO*** Multiplayer notice: GOG Galaxy is required to play multiplayer, Cross platform multiplayer (Windows to OS X) is not supported at this time.

Since Downfall (btw a great game imo) is available on the devs site for a long time now it would be logical that GOG would give it away as soon as the redux version would arrive.