My reply was a little ambiguous - I simply meant that many anarchists would find the minarchist and libertarian positions you lay out to be self-contradictory. Namely, they both claim to (mostly) oppose state involvement in the economy, yet (generally) support a free market economy that needs to be enforced by the state.

I'm agreeing with your premise that anarchism consists of many competing strains, just adding a point of clarification for the audience here (...which is probably more familiar with the libertarian perspective than the others you listed).