Anarchy requires the absence of a state… And private property… Anarchy is to the left of “workers siezing the means of production”.
But anarcho-capitalists are, as you’ve said, only focusing on the economic system of their politics. If you ask them about the politics and government of their fantasy? Well, they all reveal a desire for a deeply coercive state. Anarchy, and also Libertarian, are words being co-opted.