As I write my reply, this comment is currently grayed-out from downvotes. I find this absurd. Anyone who has read Mill knows Mill was a utilitarian. He didn't support freedom of speech for dogmatic reasons but for practical ones. Mill didn't really care about the rights of the speaker to speak or write. He cared about the right of others to hear and read. From chapter 2 of
On Liberty[1]:
> But the peculiar evil of silencing the expression of an opinion is, that it is robbing the human race; posterity as well as the existing generation; those who dissent from the opinion, still more than those who hold it. If the opinion is right, they are deprived of the opportunity of exchanging error for truth: if wrong, they lose, what is almost as great a benefit, the clearer perception and livelier impression of truth, produced by its collision with error.
Mill's point is this: Every time you silence someone, you are preventing others from hearing what that person has to say. Maybe those people want to listen so they can entertain an idea and become convinced. Maybe they want to listen so they can better understand and refute the speaker. Maybe they just find the rantings of a crazy person amusing. Whatever their reasons, the "cure" of censorship is worse than the "disease" caused by letting people communicate. (Note that this formulation also makes it easy to distinguish speech from "speech" such as air horns designed to disrupt a speaker from spreading their ideas to those who want to listen.)
Moreover, censorship requires designating a censor. Is there any person or group who you would grant the power of deciding what you're allowed to read or hear? I certainly can't think of one. I'm an adult and I can decide for myself what is acceptable for me to consume, thank you very much.
Of course YouTube is not a government and they shouldn't be forced to host things that they don't want to host, but following the free speech norm is almost certainly more beneficial to society. Every once in a while, one of those crazy ideas that must be censored— one of those ideas turns out to be true. Just like slavery and the subjugation of women in the past, there are moral errors we are committing that future societies will condemn us for. Censorship prevents those ideas from coming to light sooner and impedes moral progress.
Warning messages before viewing something? Sure. Add links to rebuttals? Fine. Demonetize? OK. But deletion? I'd prefer you didn't.
1. https://en.wikisource.org/wiki/On_Liberty/Chapter_2