Have you looked at Nvidia GeForce NOW? It's like $10/mo for a pretty decent streaming gaming rig. I'm very happy with it - I don't have to deal with Windows and can play AAA games on my Macbook Pro at 60Hz (1080p).
I think you just answered yourself. Some of us like to play games at 4K at 80Hz+, with no subscription fees, no internet bandwidth requirements, no added latency, and ability to mod.
Yeah, but that has nothing to do with the context of the question. Someone is specifically asking about accessing a GPU over the internet for video games.
Nowadays it's rare that a Windows-only game that I want to run doesn't run flawlessly on my Linux machine (through Proton/Wine). I wouldn't recommend going outside of Steam though unless you're willing to do some troubleshooting.
Ah yes, apologies that's an important caveat I forgot to include.
Games that use anti-cheat are a mess on Linux. I don't play any of those games, and if you do then you're likely to run into some trouble with Linux-only.