It actually does now! and has for years! anything that runs in the steam deck will run on your normal linux computer, meaning that most games work at this point, with many more to follow
You can run some Photoshop versions on Linux, but I would just seek alternatives. I've been using Krita for ages. It's not Photoshop, but it has non-destructive editing unlike GIMP.
Yeah, Mihoyo is actively hostile towards Linux users, people have made patches in the past to make their games work on Linux, but Mihoyo usually ends up sending legal threats and getting those people taken down, or adding their own patches that make the previous patches not work anymore. If not for that, I guarantee their games would be easily playable on Linux.
If you're interested though, I can send a DM with an alternative. I don't actually use it myself but I've heard good things about it. Unlike with Mihoyo, it doesn't include spyware that stays open after you close the game, stays around after you uninstall, or automatically starts up whenever you boot.
I remember having issues getting Genshin to work on Linux when I played it, but plenty of non-steam games with their own launchers work just fine with Proton via Steam if you add them as non-steam games.
For example, you can play WoW and Overwatch via the Battle.net launcher with Proton