GP is under the (incorrect) impression that censorship is only possible if enacted by a government entity. That’s blatantly and provably false, but nevertheless comes up in many discussions of censorship.
The First Amendment to the US Constitution applies to the government.
Free speech is the principle that suppressing allegedly false information is more dangerous than not suppressing it because if the information is actually false you can refute it but if the information is actually true then it allows powerful actors to suppress atrocities and lie with impunity.
Censorship is the suppression or prohibition of speech. Private censorship is not a violation of the First Amendment but it's still censorship.
Free speech is about being able to express ideas and these can be supressed by private entities, communities or a number of non-government entities like a church.
It has nothing to do with who does it and everything to do with whether the idea is being suppressed in practice.
No - it’s literally the definition of the word censorship: “suppression or prohibition of speech”. It really sounds like you’re trying hard to redefine the word to mean what you want to say, but maybe you should just pick a different word?