To say that justice matters intrinsically is to say that sometimes, for justice’s sake, we should do things that would make people worse off than if justice were not an issue. Or more accurately, there will at least sometimes be policies trading some welfare (or for any other component of utility) for some justice, that are equally as good as policies which do not (according to the enlarged set of concerns containing justice).
To say that justice matters intrinsically is to say that sometimes, for justice’s sake, we should do things that would make people worse off than if justice were not an issue. Or more accurately, there will at least sometimes be policies trading some welfare (or for any other component of utility) for some justice, that are equally as good as policies which do not (according to the enlarged set of concerns containing justice).
Justice is whatever is right, not a separate terminal value. (At least, that’s one way to use the word.)