Claims of games running better on Linux can be discarded for some simple facts.
Those that had any significant improvement, had it because of a temporary hack (like with Elden Ring for a mere month) that most people wouldn't jump through the hoops for or bother with. The rest amounts to minor fps differences that no human can detect, or Linux users being themselves and not understanding what recommended specs are for (they like to 'prove' things with out-dated or poorly built hardware).
When Linux can go toe to toe in feature parity and compatibility (software and hardware), then it would be fair to make comparisons of a few humanly undetectable differences. -Until then, it's fairer to compare it to Windows 2000. https://www.crn.com/news/applications-os/220100662/torvalds-calls-linux-kernel-huge-and-bloated
And there's a reason that people making these claims of games running better in Linux and not having a web page with data to refer to. -Because it's petty propaganda that's not even worth publishing.
Cold hard fact is, there are games that simply don't work in Linux or are buggy in Linux and that is documented every time Proton or Wine is updated.