I've been using Bazzite for almost 2 years now, and my... personal experience + amalgamation of all the various benchmarks of linux distros vs windows that I have seen is that basically, its variable per certain games, but generally, Cachy and Bazzite both beat Windows by roughly 5-15%, over a broad selection of games, and Cachy sometimes has a slight edge over Bazzite, and maybe works with brand spanking new games a bit earlier.

So basically maybe slight edge to Cachy, in terms of overall performance, but... its not exactly super clear.