This author seems to be confused about what hierarchies are. Hierarchies have nothing to do with division of labor or expertise--you can easily have/recognize both of those things in a horizontal power structure. A hierarchy is about who can coerce whom.
In the factory example the article gives, the presence of a central organizer/administrator/delegator does not necessarily mean the factory operates hierarchically. To determine if it does, you'd need to ask, "does the organizational structure allow the administrator to have their decisions enforced via actual or threatened violence against people who dissent?" In our capitalist reality, this would be things like firing the dissenter (depriving them of basic survival resources) or calling the cops. In authoritarian "communist" regimes, this might be forced labor or re-education camps.
You can organize at scale, abstract out certain parts of the organization, etc. without this coercive element. Humans are cooperative creatures; we want to build things together, and we are fully capable of respecting each other while we do so. Why limit the bounds of our liberation by assuming we need this systemic violence to do what we already want to do?