Other equipment does not need approval but the commander must specifically approve it and accepts full responsibility for security, fire risk and
interference.
By its purpose, a bungey mount is going to be in an open doorway, and the video camera (4 to 8 kilos) is half in and half out of the door. How the 'mount' is attached to the aircraft hasn't been described yet.
I don't see how this sort of installation can be compared to internal medical equipment.
Similarly, the means of restraint for the camera operator is often totally unacceptable - industrial harnesses that take ages to get out of, and tethers long enough for the guy to be at or below skid level if he falls out - let alone where they'll end up in a forced landing or crash.