picky.If the thickness of a nail plate bothers you how picky are you with how straight the studs are? It is hard to find ones that don't bow more than thickness of a nail plate.
I go through each one when picking a stud or joist for install (when I have my carpenter hat on). Besides bows, the standard 2X whatevers vary anywhere from from 1/16th to 1/4 of an inch.
As far as the nail plate, besides a minor hump, I don't like that the sheet of rock will not be laying completely against the beam (little play, nail/screw pop stuff).