Disable Steam Input globally?

I’m trying to play Assassin’s Creed: Shadows through Ubisoft Connect on Lutris with a DualShock 4 controller. But I get Steam Deck button prompts. I’d like to have DualShock prompts.

What I’ve tried so far:

  • Tried to play with Steam on and off.
  • Disabled Steam Input in Steam for all games.
  • Tried to connect the controller via Bluetooth and cable.
  • Change runners from Proton Experimental to GE-Proton.
  • Tried to launch the game through Steam via Non-Steam shortcut (with and without Steam Input).

Is there a way to disable Steam Input globally so that games show DualShock prompts?

Edit: Just tried to run it through Bottles with Soda runner - same problem persists.