Comment by poglet

If you're using Dolphin, it may be worth testing Better-Wii-Menu-DE (https://github.com/Gavin-S-Dev/Better-Wii-Menu-DE).

You could probably have your Wii computer boot directly into Jellyfin using a startup shortcut with 'dolphin-emu -e WiiFin.dol', then switch out of the app to play Wii games using the better menu app.

Then you can your Wiimote for both media + gaming with out needing a keyboard / mouse.