The security told me a number of things. If I'm using something specifically meant for taking video it's banned, but if it's something like an iPhone which has other features, it won't matter. You can record video on just about anything, so why not just say no video? They're going to fail their job anyway because there has to be at least a few dozen videos in HD of the show on YouTube now.
They also told me that if it's hd rather than lower quality, that's not allowed either. I guess if I recorded with a waffle that had multiple uses other than just recording, then I'd be alright. I told them to just take all electronics at the door then. You can't argue with stupid people.
That rule actually applies to the stadium itself so that's why they enforced it. It's still completely absurd on a million levels.
Sorry for the long post. This ended up being more of a rant than a reply.