Upvote for a summary.

I like the basic thrust:

"What algorithm does our brain use when we intuitively consider something just or unjust?"

I would add Tonto's wisdom to Socrates':

Who's "we", kemo sabe?

Our brain? You got yours, and I got mine.

I think, per Haidt, that we don't have identical algorithms. And the result of our individual algorithms are highly dependent on just what we've considered and what we've focused on.