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.
No it's totally not a violation of anyone's rights, but that doesn't stop me from being able to oppose the idea. Like how I support drugs being legalized but I don't think everyone should start doing drugs.
They aren't hosting the videos for free - they're displaying them alongside advertisements to make revenue off those videos.
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).