F4LL0UT: That has nothing to do with Galaxy. For some reason the initial AvP Classic 2000 release on Steam had no multiplayer at all and eventually Steamworks multiplayer was added (and now obviously Galaxy as an alternative on GOG). I have no idea why Rebellion was unable to release AvP Classic with LAN play to begin with but obviously that has nothing to do with Galaxy.
Actually, AvP's multiplayer is P2P, so LAN should be trivial. The only hitch is, the current GOG build requires you log in through the account for MP. You can't even change your in-game name, it uses your GOG nick. So yes, it has everything to do with Galaxy functionality. If they restore some of that functionality (private games, player profiles), LAN is practically built-in!
Unfortunately, since GOG has released AvP for sale, they must consider it full-featured, and therefore won't bother changing any of that.
Back to OP, wasn't Divinity: OS supposed to have Galaxy functionality?