This sort of empirical determination of different groups of people's "intuitions" may be interesting social science, but should it really matter to philosophy?

This sort of empirical determination of different groups of people's "intuitions" may be interesting social science, but should it really matter to philosophy? Shouldn't terms just be defined carefully enough that intuition doesn't come into it? Concepts like "justice" are just social constructs and not aspects of the Universe that exist outside of humanity. They will always be arbitrary.