Google and Disney are friends. If Disney says take a video down, Google will do so, perhaps even no questions asked.
Google/YouTube actually is pretty good about responding to complaints regarding violations or even perceived violations. Google doesn't want to get in between feuding parties. They're rather just use their discretion, provided for in their terms of service, and take a disputed item down.
Mental Note: No photos allowed next vacation, in case I accidentally get a Giant Mouse or Recognizable Castle in the background.
No, I'm saying that they'd take it down because of the law, and not try to obstruct against it like you implied, because as friendly companies, they would respect each other's rights under the law (not to mention that YouTube is already inclined not to violate intellectual property rights, regardless of the relationships they may have with the intellectual property owner).
No, it's OK to take those photos. You just can't show them to anyone without violating Disney's rights. After all, they own the rights to those images, not you.
(posted with total sarcasm)
So what you say, they would take it down not because of Laws or because it is illegal but just because they are "friends", intersting point of view.
Mental Note: No photos allowed next vacation, in case I accidentally get a Giant Mouse or Recognizable Castle in the background.
That is why no flash photos allowed on Pirates, Universal spies can finally find out how Johny Depp looks like and he is under Disney copyright.