I don't consider anarchocapitalists part of the Anarchist tradition. Even Rothbard said "We must therefore conclude that we are not anarchists, and that those who call us anarchists are not on firm etymological ground, and are being completely unhistorical."
Anarchists, like other communists, have as their goal a "classless, moneyless, stateless society". This absolutely cannot include capitalism because any capitalist society inherently allows for classes to exist and would probably require money. Furthermore, it is pretty evident that capitalism cannot exist without a state and therefore the term "anarchocapitalism" is an oxymoron.
Anarchocapitalists are not strongly connected to the anarchist tradition, though they do inherit a thin thread via Benjamin Tucker, and American libertarianism. They are still anarchists in the strictest sense in that they are for the abolition of the state (open question of if property rights make sense in a stateless society), even if they got there via a largely different tradition. Classless and moneyless attributes are optional in anarchism though they are features of some branches of the tradition, in particular those that emerged from the Marx branch. I doubt Tucker, for example, would have claimed a moneyless and classless society as necessary attributes of his social ideal, and he was definitely a classical socialist anarchist.
Anarchists, like other communists, have as their goal a "classless, moneyless, stateless society". This absolutely cannot include capitalism because any capitalist society inherently allows for classes to exist and would probably require money. Furthermore, it is pretty evident that capitalism cannot exist without a state and therefore the term "anarchocapitalism" is an oxymoron.