I agree with the first statement of yours. But I disagree with the second. As I stated in my text I think that morality is determined by conflicting emotions. If your morality is build around the wish to help and cultural guilt feelings both motivations will end up in being in conflict with each other. I would however agree that that a axiomatic approach in your sense where you choose the axioms also based on where they will lead you down the rabbit hole makes sense in other fields of philosophy or if the aim of once moral philosophy is achieving rationality above arriving at the right morality
I agree with the first statement of yours. But I disagree with the second. As I stated in my text I think that morality is determined by conflicting emotions. If your morality is build around the wish to help and cultural guilt feelings both motivations will end up in being in conflict with each other. I would however agree that that a axiomatic approach in your sense where you choose the axioms also based on where they will lead you down the rabbit hole makes sense in other fields of philosophy or if the aim of once moral philosophy is achieving rationality above arriving at the right morality