The model, so-called, in WHEE is probably a better guide to human evolution that any other approach, but the context of early man was different. The model easily shows how an isolated population might evolve in a contained transition over intervals in units of 10K years and transitions less than that of several thousand years.
The more general model of world history is far beyond that and shows a system that can operate globally, multitask, process cultural variables, and much else. The evolution of a creature like man must allow any input of any kind to pass into the free agency of the men in question. That’s the reason we see the intermittent sequence of the emergence of civilization. The latter is far more comp0lex that human evolution where an isolated hominid group can advance quickly and manifest the result in isolation