"The spec. is the spec., that's why it is the spec."
As a customer, I provide a drawing with the specific dimensions and tolerances that I feel I need; I inspect it (or have it inspected) to that print. If it is out of tolerance it gets an NCR and goes back. If the vendor wants to work in another unit system they can feel free; they can work in furlongs for all the difference it makes to me; at the end of the day it falls within the tolerance of my print, or it gets rejected.
As a vendor, I take a customer print, convert all the dimensions to a consistent system (if required) and produce an internal print used for manufacture. Since dimensions sometimes don't convert exactly, where rounding changes are made they are made in the direction to keep the part within the customer specification, if the rounding is too tight I go to more decimal places to reduce the rounding error. For internal inspection I inspect to the manufacturing print because it matches my process/tooling, if the customer wants inspection documentation we inspect in their units system. Either way, parts that are accepted should always be within the tolerance specified by the customer drawing.
Frankly, I don't see the need for dual dimensions, if someone needs me to do a conversion for them, I question if they have the skill to produce my part at all; BUT if a dual dimension must exit, by definition, it should be converted EXACTLY (with tolerance exact), or it should be reference, or the drawing has an error. Something is what it is; the units we use to report the value are irrelevant and do not change the fundamental size, the point of the drawing is to establish the
single maximum and minimum fundamental size and shape.
To use your example, Ingallspw, in my opinion I don't think it would be anal at all to reject a part based on the .001" non-conformance, to do otherwise says "oops, I toleranced that incorrectly" at which point the drawing should be changed and it is not out of spec at all or it says "feel free to ignore my specifications, I won't enforce them anyway" which establishes a bad precedent.
-Keith