Well, no, its not the inspector's job to "guess", it's the inspector's job to "know". The point I was trying to make before is that according to The Book, the standard 3 place decimal tolerance on the drawing does not apply to the maximum depth of the thread in the same way the major diameter of a .112-40 UNC 2A isn't .117/.107. Everything I've seen calls it a "minimum" length of engagement. So right about now, the inspector is guessing the parts are bad and he's wrong...according to spec. if he's measuring that depth +/-.005. Besides, just because you have a stupid callout doesn't mean you have to be as dumb as the screw that goes in the hole.
I agree, by all means, kick it up the food chain, but if this is an old job that somebody else made without a problem for the last 10 years you're gonna look as dumb as a pole trying to explain why YOU can't hold tolerance. And if you're trying to get a customer to issue ECN's on every drawing Joe Blow in engineering pegged to +/-.005 since he started with the company in 1975, Good Luck!