Thanks for downvoting me, whoever it may have been who did it, for having a different opinion. I appreciate that stuff, champ. Thanks for participating in communitarian democracy. /s

https://en.wikipedia.org/wiki/Anarchism_and_anarcho-capitalism The differences are not dichotomous. They're definitely not what all anarchists are like, but that is part of individualism that comes with the territory. I personally find anarcho-socialism to be incompatible, but I wouldn't label every single one of them an authoritarian because their ideas are compatible with hierarchies.

Maybe we have a disconnect here. The modern and current capitalist formula is flawed without a doubt, and at best, crony capitalism. But look at the dictionary definition. "An economic and political system in which a country's trade and industry are controlled by private owners for profit, rather than by the state." Replace country with whatever your prefered noun or adjective is for a post-success anarchical high concentration of human beings working together for the sake of a currency flow.

How can private, individualistic ownership, of a franchise by a group of individuals be incompatible with a stateless system?

Two are better than one. An alliance than a stand off. Etcetera.