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In my country for example we had dictatorship until 1974 and there was censorship, done by a department called... Censorship.
It wasn't some kind of gotcha, it just seemed completely wrong and I'd like to update my assumption in case it was wrong.
It's a generic rhetorical flourish, those often come with a bit of hyperbole, aren't universally applicable, etc. That's a normal thing that happens when people have normal conversations, especially if they're a little worked up. It's this cliché, without the iambic pentameter
https://en.wikipedia.org/wiki/The_lady_doth_protest_too_much...
If you find something someone's said unclear, you're better off just asking instead of smacking them with a wikipedia link and then calling them a liar, though.
You could also simply look at current events to understand the turn of phrase: Elon Musk, proud "free speech absolutist" bans Twitter accounts which criticize him, bans posts with the word "cisgender", and has manipulated the algorithm to prioritize his own posts.
https://pen.org/report/americas-censored-classrooms/ this is from a few years ago but the trend continues
I'll just pick one quote: "There can be no tolerance toward democrats and communists in a libertarian social order. They will have to be physically separated and expelled from society."
Also this in relation to his book: A section of the book favoring exclusion of democrats and homosexuals from society.
This is not the kind of person that is arguing for free speech on its own merits. In fact he's asking for the opposite of free speech. He wants to choose who has the freedom to speak and who doesn't.