I don't think it'll help that much anyway. It wouldn't stop ol' Joe from breeding his grade mare(s) to the neighbor's stud. Because he doesn't care about registering anyway so why should he care about inspection.
Just to give an example, I got my paint from typical BYB. He had like 80+ horses to choose from. Of course 3 studs and bunch of mares, and tons of youngsters (although I must admit he was at least trying to breed for color AND confo and temperment). Anyway, he registered only those babies he liked at the birth (I was lucky enough mine WAS papered). All others were not, so I'd consider them grade (friend of mine got one without papers, and she went through tyhe hell trying to register 3 year old with APHA).