XenonS: There is connection if you launch GoG Galaxy before launching the game, but inside game you get the red circle which is false. What you don't get currently are community missions that reward quicksilver, that's because there are none, the devs are busy with patching and don't care for CE missions for now.
That is not all. You also dont get daily quicksilver missions, which are normal random nexus missions that may only be completed once per day, reward quicksilver instead of credits/nanites and are marked as golden in the nexus mission list. The devs dont have to do anything about them; they are random. But you wont get them without contacting their server first (to verify the availability of the missions for the day, else you would be able to get as many as you wanted by tampering with the system clock, as you can do with all local timers such as the Melody of the Egg mission ones).
You also dont get updated quicksilver-bot information, such as the new quicksilver items being unlocked and their progress so far. Instead, the qs-bot list will remain at the state it was the last time you had connection to the online discovery services servers.