I wonder if you can slap an RPI and controller rails to the screen case and then just use it as a steam remote client.

I don’t know if this is relevant but my BenQ monitor will only turn on for Bazzite when I disconnect all other HDMI connectors and its the only screen left.

Flathub or Gnome-software? Must be an error in the flatpak metadata

Yes but do you use PiHole and a solid VPN? Do you spoof your browser’s useragent? Even then, some would argue that you are not safe enough from Google’s prying eyes.