A suggestion as to a possible cause.

At some prior point in time, was a friction modified transmission oil such as Red Line MTL or GM Synchromesh Modified used in the transmission? If the oil was used undiluted (not the 1:2 or 1:3 cocktail mix) the friction modified transmission oils canl lead to erratic operation of the limited slip differential (premature locking). There was one post on NSX Prime from > 15 years ago describing the differential problems that emerged from using 100% Red Line MTL. The problem was resolved after the oil was changed; but, did not completely resolve until after a couple of flushes. The first oil change with Honda MTL and subsequent change with Royal Purple may have succeeded in cleaning the original fluid out of the LSD clutch plates.

Just a hypothesis.