I don't think polygamy has to be misogynistic, although I agree that's the way its been overwhelmingly applied throughout recorded history. It could hypothetically be misandrist if power dynamics had the opposite gender polarity. I think the core issue is the power imbalance being expressed in the construction of a harem. Anyway, I think of polyamory as the broad term and polygamy as an unfortunate subset of it, designed to legally and unilaterally enforce an inequitable and exploitive type of polyamorous relationship by members of one gender against the members of another. That's a pretty broad generalization of gender, sex, and orientation dynamics, but I'm not an expert in the field. I assume there's still some kind of conventional, ontological hierarchy with corresponding terminology. I think that's what I was reaching for.

I feel like there's got to be at least one cobbler with an active spiritual life.

Sorry. It's the best I could find on short notice. I thought it was "Gooble gobble."

https://subslikescript.com/movie/Freaks-22913