That’s a bit like saying you can have battlefield success with only footsoldiers and no tacticians or strategians, or like saying a factory can run smoothly without foremen, or that a ship can sail safely without a capitain. We develop administrative positions because of their utility even within a class, not just class-based hierarchy like workers and owners. The latter, class-based distinctions are a product of unequal ownership and control, the former are a product of material necessity.

Cooperative production can work, but only for certain industries and certain scales. Agriculture is a good example, but for something more complex like smartphone production that involves global supply chains and intense safety risks for mining, shipping, silicon processing, etc, it’s just not feasible to do cooperatively and horizontally. Even then, for agriculture, as we advance to more efficient industrialized production we too develop beyond the basis for cooperative ownership to function.

Administration is not a bad thing. What’s bad is class society, which allows a small portion of society to plunder the vast majority of the spoils of social production.