No. They’re correct. AnCap is not an anarchic ideology and is just a form of re-branded neo-feudalism. There’s a lot of hand-waving and arguments that intentionally avoid following threads to their logical conclusion.

Capitalism is a mandatorily hierarchical system. It literally revolves around capitalists owning the means of production and leveraging it to extract as much value from workers’ labor as is possible to keep as profit. This makes it incompatible with any form of anarchism.

“AnCap” has nothing to do with anarchism and revolves around elimination of regulatory power, services, and social safety nets of the state, while preserving the state’s ability to use violence to coerce workers into falling in line. State services and social safety nets are then “replaced” by dependence on the goodwill of capitalists voluntarily providing for the less fortunate. The dynamic setup by this can logically only lead to increasingly disparate distribution of wealth and power, with capitalists becoming kings and workers becoming serfs, completely dependent upon their rulers because they have no ability to economically support themselves.