I really understand your point. But still in my view you are describing how a society can function by hierarchy but it’s still only functions in society you are describing. Hierarchy can be also absolut senseless. For example: god told someone that this person is now king. That hasn’t anything to do with needs. It’s only hierarchy. Here the definition. https://en.m.wikipedia.org/wiki/Hierarchy

I Stil get your point and I sign that hierarchy is mostly needed to archive goals in society. But that most society’s rule on hierarchy is mostly coincidence in my view.

Edit: also interesting https://en.m.wikipedia.org/wiki/Heterarchy