The type of anarchism that says, “You must agree with my anarchism, and if you have some incorrect view, I’ll use my powers to remove you from the space” is not actually anarchism. It’s actually strikingly reminiscent of how the Russian implementation of communism had nothing to do with worker-led socialism that it was branded as. They implemented freedom by declaring themselves the arbiters of what were the allowed types of freedom and ruthlessly repressing anything else, which isn’t how it works.

In general, I think it’s a myth that if you disagree with liberal orthodoxy on lemmy.world, you’ll be banned. Plenty of people on lemmy.world constantly criticize the liberal orthodoxy and it’s fine. The people purporting the myth are either:

1. Being flaming cocks and then claiming they were banned for their factual beliefs when they get banned, when that wasn’t the issue
2. Or else trying to make themselves feel better about the censorship of liberals that happens on their own instances, by claiming lemmy.world is doing the same to their “side” when they aren’t.

The occasional whining about how unfair it is that you can’t post anti-Israel stories on lemmy.world, for example, is nothing to do with reality, but is instead a disguised yearning for a space where you can’t post pro-Israel stories, and the mods will enforce that political viewpoint using their powers so the speaker can feel comfortable because all they see is things that they already agree with.