That might be "the problem" for you, but that's not the problem as far as stop killing games is concerned. This petition is asking for games to remain in a reasonable playable state after the servers shutdown. No if, ands, or buts. Adding a "playable through" disclaimer changes nothing as far as this movement is concerned.

I agree that clearer language about what you are actually "buying" would be good for consumers, but it's tangential to Stop Killing Games.