I have a major issue with the commenter who said "Would you treat an adult in that manner?" That argument makes NO sense to me at all. I am not responsible for another ADULT'S upbringing. I am not responsible to teach an adult life lessons, or rules, or anything like that. Adults and children are worlds apart. Your argument is invalid.
Another commenter on the blog said something to the effect of "What if when they get to be a teenager and their friends see it?" Well, bathtime pics and the majority of the candid photos we take of kids could be "embarrassing" to a teenager too. Do we stop taking those? And I seriously doubt your teenagers friends don't have embarrassing/silly photos or videos of themselves as babies. Grow up.
As for the video, some tantrums are funny. That girl deserves an Oscar! She wasn't traumatized, she was throwing a fit over having to do something. Yea she was tired, kids do get tired, they throw fits, but the key is not giving into those fits if it's something trivial like putting a dish in the sink. Like another poster said, we don't know if the dad gave her a cuddle after the tape stopped rolling. We don't know what happened before or after the vid so it's not right to assume.
I would do it if I caught my son throwing a fit over something like that! I had a good chuckle. Kids are silly.

I've seen pictures and some videos of myself having a tantrum when I was a kid and all I can do is laugh.