My understanding is that the USTA is allowed to video tape, but the parents may not....
And while I disagree with almost everything about the USTA,
the rationale is that most parents don't want other folks videotaping their kids for internet security reasons.
You state - "My intent is to videotape my daughter, not the opponent."
Ok, you are a normal person, but I have been to events ( not tennis) and seen dads videotaping other young teenage girls and I don't think it was to analyze the competition....
(At this point, you can take a face of a young junior and and put it on the body of another person, and then send it around the globe.....)
So, just another parent's thoughts for you to consider and mine are not as tennis related as yours,
I understand, but there is another side to the issue.