We're back at the platform vs. publisher debate... I think this should be a either-or thing, that every webpage chooses. Then, you're either a platform, and can only remove directly illegal stuff (or when told by the courts to do so), or a publisher, decide what content you publish and what you remove, and then carry the full responsibility for that content.

The current situation, where pages like youtube can act as publishers, and cherry pick what they keep/promote and what they remove, and still keep all the platform protections is really bad, mostly for the users.