Look up Tresona vs. Burbank online. It's slightly different in the terms of what the suit was about, but I think it's quite telling on how the courts would rule in these cases. I would bet that Tresona would probably lose half or more of the cases if they were taken to trial. As it is I don't believe there is any way they can honestly forbid archival copies as there's case law from the 70s permitting that for educational purposes.
I get why Mr. Video and such could be banned, but beyond that how can you possibly police cell phones in a stadium? On YouTube copyright owners choose to monetize in almost all cases rather than take down the content. They get ad revenue then! UIL is a government entity for education - I don't see how they cannot be protected here. BOA and USBands don't have those protections and I can see their problems of liability there.
Someone from a wealthier district with parents in the law field really need to get them to look into this case and start providing some counter-suits. If that happened I think this would get a whole lot more reasonable in a hurry!