I hate to admit, but those of us who have never faced ground combat probably don't understand what was going through their mind. This is the closest we'll ever come to explaining it.
Yeah, I don't buy it. Why would you video tape it? You video and Youtube stuff you're proud of, stuff you want other people to see. I've never seen anyone video themselves breaking down and sobbing or going into a confessional. I think they knew damn well what they were doing, and they did it specifically to be an insult to the enemy.
Where they effed up was in thinking they could get away with breaking taboos in an zero-defect, ultra-PC environment.