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.
Nope, anarchy is only the absence of a state. Like I said, it is still possible to enforce property rights in such a scenario… as long as you do it yourself.
This likely WOULD lead to less hoarding and more wealth distribution, because you cannot keep what you cannot defend. But it’s definitely wrong to assume all property would automatically become public and “free use” and everyone would share freely as in a communist utopia, because that requires agreement between people. And in the absence of a state, there is no authority that could enforce such an agreement.