Have you been caught not doing your job with a cockpit camera e.g. not running the procedures, playing with your phone, vaping... etc?
These are a tool that is here to stay. Some of us in the pilot ranks have abused the privilege of being by ourselves.
As for liability, not sure how true that is. Any case in mind?
If you think of Alaska state trooper, the video showed a pilot caging his AI while in low vis. I think that's enlightening.
Just don't let the video on your last flight show you tweaking the camera out of the way or blocking it with the map light. You'll look like more of a jacka$# than someone who makes a mistake.