>>2"Market (P)Anarchist" here.
I don't think anarcho-synidicalists or communists aren't anarchists.
I respect that historically, their form of anarchism predates others.
I don't give a shit what they do so long as they don't give a shit what I do.
The idea of competing idealogical societies is very interesting, if the communists got it right, I'd just move away from my society to the communist one.
I think the existence communes would actually be a great way to hedge against potentially exploitative labor practices. Why would someone work at a shitty factory for shit wages when they can move to a commune and be taken care of (assuming it works out)?
Basically, I think the societies can coexist, if not complement and enhance one another.