> Besides, PEAK has offline mode already built in, so no subscriptions needed.
Yes, single player offline. SKG is specifically about deactivating the online/multiplayer component in games, so if PEAK were to deactivate their online coop mode, they would definitely fall under it (ignoring grandfathering).
SKG cares about games staying playable. If a game with both MP and SP modes has MP disabled, SKG’s proposals do not fall under it, because the game is still playable offline. They have repeatedly hammered this point in their official communications (such as their youtube and press releases).
I'm not sure what official communication you are seeing but e.g.[0][1] it was clearly stated that it would fall under that. And according to their framework of "game must stay in a reasonable playable state", of course the online mode of PEAK, Battelfield, Call of Duty - which are all games that are primarily purchased for their online mode (but do have an offline mode / singleplayer campaign) - would qualify for their proposal.
