"A little yes", as my old boss used to say.

I'd put it rather that Socialism subordinates corporate property rights to political power, Neoliberalism subordinates political power to corporate property rights, Fascism is an equal merger, and Anarchism seeks to kill both of them with fire.

AnCaps expect to maintain property rights (including corporations) without the State.

AnComms want the State, but without property. Minarchists want property, but with a bonsai version of the State that can't escape its tub.

Each of these has worked at least once somewhere, some time. Whether we can establish and maintain one under any of various modern circumstances is a work-in-progress.