If you fully ramify your position, you're advocating that the government tell me that if I host videos, I can't prevent people from posting videos that I don't like. E.g., if I make a cat video hosting platform, and someone uploads a dog video, I can't stop them.
Again, this is a debate about where to draw the line. It just happens to be the case that there are some people who are fierce advocates for maximizing the amount of gun stuff that is readily available online.
No, I'm not arguing that YouTube should be legally required to permit all legal content. I'm arguing that I ethically expect them to. Or, at least, expecting them to is a valid position.
Or do the ethics have to do with YouTube's utility like status?
I personally am happy that YouTube can and does censor/ban porn, obscene videos, and videos depicting humans dying.
At least in theory, the government is an extension of the people, and a private corporation is not. We should decide as a society what topics should and should not be censored. Then we can defend minority viewpoints and make moral judgements, rather than financial ones.