Getting banned from YouTube is not a violation of individual rights. Forcing a company to host videos for free sounds like a violation of individual rights though.
Well, I think everyone in this thread can at least agree that nothing should stop anyone from being able to oppose the idea.
Also, the rights given an individual are distinct from the rights given to a company, and IMO are distinct from the rights a company deserves (i.e. a company has no inherent right to exist).