Early in his career Parmelee was a three true outcome guy whose biggest concern, and it was a huge red flag, was strikeouts.
He has transformed into a high batting average guy who walks less and hits for less power. While cutting his Ks makes it more likely that he'll be a useful MLer one day, the fact that his XBHs and BBs dropped too his ceiling lower as well.
Anyway, yeah, he should probably be in AAA.