This is in line with Nietzsche’s geneology of morality, which leads to severe relativism. Is this a natural consequence?
Experimental philosophy is neutral - people disagreeing about morality is evidence for our knowledge of morality rather than evidence for it being relative
Arguments about morality that are based on people sharing intuitions however could be invalidated/validated based on the evidence.
Utilitarians may have conclusions that can be demonstrably against layperson ethical intuitions, but they can have independent arguments for why they are still right and our intuitions are wrong.