I don’t think there’s any coherent way to fulfill both parts of the antecedent “there is an objective morality, but we don’t care about it.” Instead you get “there is an objective mumblemumble, but we don’t care about it,” or else “here’s this morality business that obviously lots of people care about; how objective is it?”
Moral norms tend override other norms and the preferences, so definitionally, objective morality is what everyone should care about. However definitions don’t move atoms. I suspect this question conflates two issues...what is theoretically important about OM,and what we would be likely to do about it in practice.
I don’t think there’s any coherent way to fulfill both parts of the antecedent “there is an objective morality, but we don’t care about it.” Instead you get “there is an objective mumblemumble, but we don’t care about it,” or else “here’s this morality business that obviously lots of people care about; how objective is it?”
Moral norms tend override other norms and the preferences, so definitionally, objective morality is what everyone should care about. However definitions don’t move atoms. I suspect this question conflates two issues...what is theoretically important about OM,and what we would be likely to do about it in practice.