seppelfred: Will the games still work, if they shut down completely? After finishing an episode, you
always get the statistics how others have played the game. If they shut down their servers, will the game still work, or crash with an error message?
(emphasis added)
Which games are we talking about?
I don't recall Bone, Sam&Max, Wallace&Gromit, Monkey Island, Puzzle Agent, Back to the Future, etc. ever showing anything? Is this a new thing?
Also, I would assume the games run without any problems, at least those from GOG and Humble Bundle.
If you mean those from Telltale's own store, they actually may refuse to run at all - there's some conflicting information about this.