To do the “history doesn’t repeat but it rhymes” bit, I think we’d see a mix of countries/regions with outright revolution that eliminate the existence of a capitalist class, and then others where the capitalist class ends up taking on a ceremonial role. Functionally, genuflecting to the new socialist hegemony as to avoid the chaos of the revolutions, but baking in some sort of perch that doesn’t give them any real power but lets them feel like they’re still a special, protected class.
Now the rhyming part is, with capitalism and the feudal order, the perch has a neat patrilineal mode of self-replicating; son of king becomes king. With the capitalist class, class birth right is more de facto than de jure. So probably something more symbolic, like job titles within the socialist economy that invoke a capitalist imagery/throwback. Instead of “research and development engineer,” it’s “innovation and entrepreneurialism VP”.