OP is clearly referring to censorship in the "admin bans you from their website if you say things they don't like" sense, not the "government throws you in jail if you say wrong thing" sense. These conversations tend to become unproductive and devolve when folks conflate these two senses of the word censorship.

IMO, we should use "content moderation" for the former and "censorship" for the latter, congruent with historical usage. But people who are against content moderation will claim I'm being biased, even though I view the whole debate as a bit of red herring that distracts from the real issues. So I'd settle for "private-sector censorship" and "government censorship".

But in any case it's almost always counter-productive to conflate the two, to the point that it's a logical fallacy which should be named.