It would be disingenuous to suggest YouTube is not the de facto video sharing site. If they censor something, it's a big deal.
It's the same thing with Amazon, Google, Twitter, or iOS. There are ethical implications if you are one of the major conduits by which people communicate and disseminate information, regardless of your status as a private or public utility.
Legal? Who cares. Ethical? Maybe. A good idea? No.
You think Twitter doesn't feel responsibility if they close out an entire country from their service?
You are pretending there are lines dividing sides that are black and white.
Because you are not permitted to run your own web site / server to share your videos?
Do YouTube have a legal, moral or ethical obligation to you to allow you access to their ecosystems for your benefit?