Sometimes it did push in the other direction. Western and central Europe had more class differentiation during the bronze age than the earlier iron age for example. But then the commodity form re-infiltrated them through the greek and phoenician merchants, more militarism became necessary to defend against encroachment from the south (and from neighbours later on), their warriors grew wealthy from raiding greek and roman colonies (or from serving the same as mercenaries), etc. The same sorta push in the other direction has happened countless times, usually leading to what the nobles view as "dark ages"—but so long as any class societies exist they will re-establish themselves
Itz why the revolution needs to be global and must struggle to abolish commodities or "the whole rot" (as marx called it) will just re-establish itself again