I have the NHTs but have not heard the Aperions so can't really make a direct comparison. Judging by the specs and design I would say the NHT has more bass extension. The Aperions (probably not coincidentally) have more sensitivity.
Both are good and certainly not 'overpriced audiophile speakers'. The NHT gets my vote. Had a pair, briefly. The 10" side firing woofer coupled to essentially the Classic 3 monitor (a fave among reviewers) gave, from memory, a very smooth, non-fatiguing, relatively full-ranged sound. I would have held onto them but the cabinet depth was a little much for my room.
At the factory direct price, really tough to beat.