First, thanks for such an interesting article.
I thought you might find interesting a 'scientific' approach to justice I have developed. In it the ethic of justice (‘mutual respect in effecting choices’) follows from observation within material existence.
Since both the determiners and the referents of "real justice" [a “5 min read” here in Medium] are situated in material existence, its ethic cannot be invalidated by asserting any contradictory 'truth' based on 'knowledge' that lies outside material existence. Anyone who accepts the validity of the observation from which that ethic follows cannot (rationally) deny its applicability to all human beings, including oneself. In societies governed by real justice people who denied the validity of that ethic would be ‘proving’ their humanness, so they would be respected as fellow human beings, but would still be justly subject to its laws.