I in general oppose creating social constructs, and more so lending/giving authority to social constructs.
In a sense I can see a loose coalition of individualist that have aligned interests, and could see how a formation could occur without lending any individual sovereignty to a formal group or faction.
I call that formation a 'individual republic' as all individual sovereignty remains with each individual.
Anarchy itself has been pulled so far left, that unless there is a distinction, it is assumed that a anarchist desires immersion into a social construct and defaults all authority to the will of the social.