So far I notice way better framerates and way less stuttering than the current Lutris build
All you have to do is download he lutris build https://lutris.net/games/overwatch/
From there make sure to download DXVK 0.90 which can be found here https://github.com/doitsujin/dxvk/releases
Then create a folder called “proton” here ~/.local/share/lutris/runners/wine/
after go to ~/.steam/steam/steamapps/common/Proton 3.7/dist
Copy the contents from the steam folder and paste it in the proton folder.
Then in lutris under wine version, select proton, and for DXVK select 0.90
Launch the game and you are good to go!