I haven't seen the video in question, so I'm withholding judgment on it, but I think it's possible to say something is morally wrong without it being hate speech. I think lying is morally wrong, but I admit to lying fairly frequently, and suspect most everyone I know does as well. It doesn't bother me in the least being around liars or being friends with them. I certainly don't hate them in the least.
With that being said, even if saying lying is morally wrong might upset some liars, and might not be the most open-minded thing to say, semantically I don't see how it can be hate speech if hate neither motivated the speech nor was called for in it. If someone else made a similar claim about same-sex marriage, even if I disagreed with them, I wouldn't call it hate speech.
That said, hate speech or no, I fully agree that youtube has every right to remove it.