On those 5 games, 3 do not work at all, and Doom: Eternal keeps crashing every 15 minutes with the two latest builds.
I am sorry but the "You click on play and the game does run." is definitely not true, except if you are playing famous old games (mainly supported by Valve) like Portal, CS, ...
Thankfully, there is work being done and at least the situation with Battle Eye has improved in recent years.
I think the game itself was broken for couple of days for GNOME because of some library and if you want to play you have to switch to KDE.
Even if you want to game on linux, you have to install a ton of libraries, hope in wouldn't brick your system and then jump through the hoops all day and in case if something breaks you have to spent time debugging / reinstalling system instead of playing.
You also should consider that on Windows in practice there are many issues, ranging from drivers and OS updates critically breaking performance (happened just now again), middleware stopping to work, and many older games that run perfectly fine on Linux not running at all on Windows anymore. It always depends on your game selection of course, but I for example also removed my dual boot Windows installation to exclusively game on Linux a few years ago now because it got way too annoying dealing with all the breakage and incompatibility on that platform.