In principle, maybe. But realistically, even if we had a competitive and healthy video hosting market, the RIAA would still have a legal imperative to moderate those platforms. Although we don't perceive them in direct competition with YouTube, copyright takedowns still happen on TikTok, Twitter and Instagram. Platforms of a certain size become targets for IP holders, and platform-owners lack the time or accountability to deal with each claim on a case-by-case basis. It's less about finding a "someone" to tell-off copyright trolls, and more about paying enough lawyers to fight Sony & Friends when they make dubious claims.
It's a status-quo that sucks for us humans, but this is what intellectual property laws look like as-applied to real life. Art, video and even code are all obsessively licensed to prevent the accidental proliferation of good ideas.