A naive moralist cannot discern the difference between his own moral views and justice, which adjudicates precisely between conflicting moral views, assuming the ultimate validity of none. Justice does not “privilege” any moralism over any other, but this view requires a capacity to put one’s own morality in pluralistic perspective, which is much harder than it sounds.
Naive moralism is not incompatible with hyper-awareness of naive realism — in fact, they might even belong together. A person who scoffs at self-evident facts, who knows the canon of cognitive biases by heart, is entirely capable of wholehearted belief in self-evident moral principles, for instance, fairness.
Most talk of “privileging” privileges its own knowledge of what privilege is, how it works, who is and is not privileged, and what ought to be done to whom to redistribute unfairness and to establish justice. And it does so with privilege’s oldest trick:unconsciously privileging the assumptions and arguments it uses to demonstrate the objective truth of its claims.