Anarchism is anti-authoritarian, but that’s not really where it ends (to say it’s ‘all about that’ is a bit reductive). The point isn’t just to oppose authority, but to oppose hierarchy and domination. IE systems where authority becomes permanent, coercive, and self-justifying.

Anarchists aren’t going to oppose a doctor giving orders in the middle of surgery, or say that teachers have to get a vote from their class before being allowed to assign homework.

The problem is the structural authority where participation isn’t voluntary and the power can’t be revoked. This is why opposing the state, class society and capitalism is such a common refrain.

That’s why I said there’s common ground between marxists and anarchists. Both traditions start from the same diagnosis: the capitalist state is a machine of class domination. We both want to abolish exploitation and create a classless, stateless society. We can disagree about if some heirarchies can still be used temporarily for the purpose of liberation, however that’s a strategic debate with a shared revolutionary objective, not some huge moral divide.

At the end of the day, anarchists and marxists want the same thing: a society without without rulers, landlords, or bosses.

The disagreement is about how to get there, not about if people should be free at all.