SteamVR: Works perfectly, except for trying to access either Secret Shop or Robot Repair, which requires launching manually to play.
Monado and OpenComposite: Controller angle is off, as well as requires editing the JSON file for your controller bindings (in my case, it's ~/.local/share/Steam/steamapps/common/The Lab/TheLab/win64/TheLab_Data/StreamingAssets/SteamVR/bindings_rift.json) and tweak the teleport binding. Just like running with SteamVR, still can't access either Secret Shop or Robot Repair.