Memes

You didn't address that your analysis is idealist and not materialist. Power does not select for power. This kind of vague, metaphysical explanation for what actually goes on, class struggle, is why you're running into opposition from Marxists. A materialist answer requires that we analyze class, and why we even form hierarchies to begin with. As I said in another comment:

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.

In short, administration is not inherently bad. Like violence, like fire, like any tool, it can be good or bad depending on how and why it's used. In socialist, collectivized society, the basis of class is eroding. The state is not independent of class struggle, but rather fully dependent on it and within it, while not itself being a class. As production and distribution is collectivized, class struggle erodes alongside class itself, as do the oppressive mechanisms of society we call the "state." Administration, as far as it is legitimately useful, remains, as it should.