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.