Wiktionary
non-moral
a. Not moral; unconnected with morals; having no relation to ethics or morals; not involving ethical or moral considerations.
Usage examples of "non-moral".
The whole point was to do away with the distinction between moral and non-moral goods and make all human desires equally worthy of consideration.
Or indeed than there is in many of men's actions, whose real roots are in satiety, sloth, or a purely non-moral natural softness, though they may dignify them by 'pity's' name.
Values could also be ranked in importance from morally crucial, like honesty and freedom and justice, to slight non-moral preferences, like a kind of music or style of dress we prefer.