The elites and ones in power were the ones most decimated by the bronze age collapse, so this reasoning feels flawed.
http://www.stat.yale.edu/~jtc5/papers/CommonAncestors/Nature...
> Chang established the basis of this research in a previous publication with an intentionally simplified model that ignored such complexities as geography and migration
This seems like a very impactful simplification. Especially given the relative limited mobility of peoples up until very recently.