JMO, 2 minutes of repeatedly sliding hands over a child is very different than a reasonably brief straightforward patdown.
Sliding their hands over the body is how they check to make sure there is nothing hidden under the clothing. To me, this is a straightforward patdown.
And, they claim that she went "over and over and over" areas of her body in the interview, but it is clear in the video that no area was repeatedly patted down. Just once over for each body part.
It also seems the father was arguing before he turned on the camera, so that plus the fact that they knew they were being recorded may have ensured that they felt they needed to do a thorough "by-the-book" patdown even though it was a child. Maybe if the agent just patted the kid briefly and sent them on their way the parents would have sent the video to the press complaining about how lax the security procedures are at this particular airport.
