I'm having some trouble understanding exactly what position a non-realist takes when they present a normative ethical theory.
Definition: Normative ethics is the study of ethical behaviour and is the branch of philosophical ethics that investigates questions regarding how one ought to act, in a moral sense.
I understand that a normative position can be separate from a metaethical one, yet I am still experiencing some confusion.
The non-realist says, "what is morally good is what has the best outcome", but they don't actually believe that, because for example they think morality doesn't exist, or it isn't truth apt.
I would fully understand, if instead of saying "morally good" they said "good", then it seems to me any end is valid since "good" isn't specific, but 'Morality' is baked into the definition of normative ethics, to say the aim of an ethical theory is that everyone ought to fulfil my preference seems invalid, it is not a moral reason, and the hypothetical non-realist doesn't think any moral reason could be valid anyway.
So the non realist is not saying how one ought to act in a moral sense, they are just saying how one ought to act, therefore this doesn't meet the definition of normative ethics.
So my question is, if normative ethics requires a moral reason, how can a non-realist participate here?