Recent testing revealed that Arch Linux, Pop!_OS, and even Nobara Linux, which is maintained by a single developer, all outstripped Windows for the performance crown on Windows-native games. The testing was run at the high-end of quality settings, and Valve's Proton was used to run Windows games on Linux.
Are there single player games with anticheat?
There are games with single player and multiplayer modes that come with anti cheat. I had some game a few months ago that was a Steam freebie (can’t remember the name) whose anti cheat didn’t install properly on Windows and it didn’t allow me to launch regular single player, only mod mode.
I know that Resident Evil games come with Denuvo, for example.
DRM isn’t anti cheat.
in the denuvo product page it is called anticheat by their creators
https://irdeto.com/denuvo/anti-cheat/
You’ve linked to their anti cheat which they also offer but it’s not their main product. Funny that you missed that, given that you were already on their web site and https://irdeto.com/denuvo/ spells out “Anti-Piracy technology” in huge font:
being sincere I just searched for denuvo anticheat to see if it was called like that.