This logic of alpha/beta/omega always seemed incomplete to me.
The Gervais principle seems to capture reality better, the losers are the ones that form groups where people can be categorized as alpha/beta/omega etc. and the clueless and sociopaths act completely outside of such groups. For the worse (clueless) or the better (sociopaths) of themselves.
Funny enough, lately alpha/beta/omega logic includes a "sigma", which is the ham-fisted try to add sociopaths to their flawed system.
Read it a decade later than I should have, though