All three Linux distros managed to beat Windows 11 while using Vavle's Proton compatibility layer.
Nobara OS, Arch Linux and Pop!_OS beat Windows 11 by a slim margin in fps (delta 8) in Windows native games - Cyberpunk 2077, Forspoken, Starfield and The Talos Principle II. Windows 11 wins in Rachet & Clank.
ComputerBase's testing was done on an all-AMD test rig, featuring a Ryzen 7 5800X (non-3D) and a Radeon RX 6700 XT.
Still very impressive considering this is all run by translating the same Windows API calls into Linux ones, and then running them. There's definitely some overhead in doing this, and yet they still beat Windows native.