Demanding that the video be deleted ... yeah, that's a little out of hand.
However, operating an unapproved electronic device against the FAR's is another. Something tells me although there is no right for the video to be deleted she may have bitten off more than she could chew. But to say to say that I'm the Captain so delete it? No, go pound sand. And yes, I have flown as Captain. Nothing gives him/her the right to do that. Again, if someone got pi$$y with me about it then yeah, it's time for a flight crew report and see if there are any FAR violations.