If YouTube were suddenly banning all LGBT content so as to protect children or some such thing, wouldn't we call that censorship? It's a ludicrous idea that censorship must always come from a government.
The govt controls many aspects to out lives.. The police can come to my house and take away my children if I tell them being gay or transgender are mental health issues. YouTube can only kick me off for stating such.
The govt also can censor based on which grants out gives funding for. Another reason academia is broken.
They are some real reasons to fear censorship.