As SLF of the nervous disposition, this worries me. I've also done some filming in smaller (single engine) aircraft and it's really hard to keep the camera steady etc. Takes all of your concentration. The ONLY way I'd personally be happy with is a GoPro stuck somewhere it's not in the way, set recording, then ignored.
But then I don't know the rules, and as I said, I'm a nervous type when it comes to flying so I'm biased!