daggers-drawn:

Market anarchism is a kind of anarchist thought that eliminates capitalist exploitation but still relies on a market to distribute goods. Mutualism is a kind of market anarchism.

So unlike AnCaps, market anarchists do want to abolish private property and move toward possession-and-use minded property and production. They also wish to grant the worker the full product of their labor through collective ownership schemes (like agro-industrial cooperative federations).

I worry that it could provide new avenues back toward the capitalist modes of property, but since it does abolish them and attempt an anarchistic system I do consider them comrades.

A good source of info about market anarchism is the Center for a Stateless Society.