I just tried it on Nobara. Just… application launcher (The start menu icon)->sleep. Waited, and then woke the machine back up and when the machine came back up, the game was still running. No idea if all games will play nice with that, but Satisfactory did.
A fundamental flaw in this, is it still involves user data, even if “anonymized”. You can advertise without any user data. We do it all the time. Does a television channel know your gender? Does a radio station know if you bought a car recently? Does the newspaper know your hobbies?