In testing, there seems to be some support sunshine. Sunshine historically has been the best remote desktop experience (for me) but it's missing nicities like remote file transfer and clipboard sync (unsure if this has been worked on). I've used it on Wayland for a bit on Sway/KDE.
I exprienced weirdness on BG3 using steam input and multiple controllers. I reverted (only for BG3) to the game's controller settings instead and multiple controllers worked.