>Except that moral relativism ultimately boils down to a universal axiom of "One ought behave in a manner aligning with the moral framework of their setting", offering an inherent contradiction with the belief that there aren't axiomatic ethical rules.
Except it doesn't. Moral relativism doesn't make any claims about the way one should behave. It's entirely consistent with a moral relativist point of view to oppose commonly accepted morality. Moral relativism merely asserts that there is no absolute arbiter of good and evil, no immutable arc of history towards freedom, no inalienable right. Everything is a matter of opinion and consensus, and consensus is always fluid.