You can do that with the Steam Link app if you have a copy on your PC, and Microsoft now has (will have?) a similar thing to play in their cloud if you have an

You can do that with the Steam Link app if you have a copy on your PC, and Microsoft now has (will have?) a similar thing to play in their cloud if you have an xbox copy/if it's on game pass. Playing on your local network isn't bad for latency, though these sorts of games aren't especially latency sensitive so I imagine the cloud experience wouldn't be terrible either.