If you're like playing Apex/Valorant/PUBG/Dota and such, and scared that use of remote plays might get flagged, you could just use HDMI-in MPEGTS-out Ethernet capture streamer building scale HDMI extender thing(I don't know the actual categorical name). Inputs can be handled by a separate device, or just wireless keyboard/mouse.
Note that if anti-cheat is a concern, common dev boards like Arduino Leonardo and Pi Pico could also trigger flagging, so maybe that needs to be done slightly differently too(assuming the intent is good and this don't count towards anti-cheat evading in whatever you're doing).
Good point, I do play some games with anti-cheat like ARC Raiders. I don't think software screen capture would necessarily be an anti-cheat issue, maybe software mouse inputs are more likely to be.
As for dev boards, it wouldn't ever show up as a dev board to the PC, it would simply be simulating a dumb hardware keyboard. That's one of the reasons I wanted the board itself to have its own wired network.