I haven't watched the video, but it seems the girl involved came out of it whole. She obviously set up the camera to record it, so must also obviously have done something that she knew would result this way. I'd have to wonder just how far this kid was pushing her dad...not that "pushing" means a kid deserves a beating...but I've been on at least 3 sides of similar situations so far in my life.
1) I lived with parents that seldom resorted to physical punishment. When Dad did spank, though, it was memorable. The belt was something you knew you'd "earned" when you got it...and you had to really push to get there. Every time we were actually "whipped," we deserved it, we knew it was coming...and we got over it.
It sounds to me like this girl knew she deserved punishment, knew it was coming...and got over it.
2) I lived with a sibling that pushed way harder than I did...someone Dr Dobson would call a strong-willed child. He got away with a lot more than my other brother and I, which seemed so terribly unfair at the time. He got my easy-going Dad to the point of almost actually beating him when he was 14. To be honest, while I was horrified at the time, my brother deserved something pretty severe!!
3) I have raised 4 teenagers, mostly alone, and still have one at home. I haven't needed to use physical force against 4 of the 5...but the 5th one, my middle kid, I actually punched him once. Knocked him down. He deserved it. If faced with an identical situation today, I'd do it again.
Actually, I just thought of a 4th situation. I know a family with a "strong-willed" kid where the family has taken her back again and again. She has stolen money, stolen cars, lied about her parents, etc. She just recently went around telling everyone that she was kicked out of the house because her dad caught her eating "his food." I doubted it, and sure enough, a couple weeks later she confessed to my daughter that her dad caught her taking money out of his wallet.
Sometimes, love means being tough enough to come up with a punishment that works.