According to Sam Perry, the superintendent of the Birmingham Proof House, the PH will not accept any gun for reproof that shows a clearance greater than .002" between the breech face and the barrel breeches. This is determined by visual inspection, aided by a feeler gauge if necessary.
I don't know if that is the only definition of "off face" but it is not a bad starting point. Some best-quality craftsmen would be even more stringent in their definition, I suspect.
Gunman works with barrels for a living, and can maybe offer more.