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.
While I love good news for Linux gaming, this article is IMO a litre too positive. In the last part, notebookcheck picks the games that Linux distros were best in and presents a biased picture.
But the general message is positive: When games run under Linux, the performance is probably equal or better than with Windows. (And Windows has compatibility problems too).