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They are necessary for the model because the model, models class societies, there is no therm in the model were w, or N increase as a function of E. So no, the model does not model the elites as offering any benefit to either wages or the overall population of humans, their role is entirely parasitic, as in they extract value, and cause instability.
Ideologically I agree that we need to transcend social organizations that stratify power.
Practically speaking framing it around a parasitic lens is ideologically pointless because socialist societies also tend to have this problem.
Im talking entirely from a modeling perspective. The model does not make any assumptions on the usefulness of elites, but there is a term that is effectively a predators fictional response in eq 11. And a coefficient that serves to model an inverse effect in eq 1. In the modeling paradigm, the elite class is either parasitic or not useful depending of those terms, it is never implied they serve a function. Likewise their conflict has material origins se the explanation I quoted, there are no terms to model structure other than the initial class division.