Ok, I'm jumping in here as a devil's advocate with a question on my mind, hope no one minds me thinking out loud...
Does the actual presence of the recessive Wheaten gene diminish the Black Copper bird itself in any way? Or does the BC diminish the wheaten? What I'm trying to ask is, if a flock is producing wheaten occasionally and one *likes* wheaten as a color and the BC "siblings" are lovely in color, despite carrying the recessive potential, and the Wheaten color is lovely, despite having BC siblings, what does it matter that the two colors coexist? Nature made them both beautiful and if they do not "muddy" one another in some ugly sort of way...then would it not be a delightful thing to have both colors?
I used to show/breed basenjis (yes, the barkless ones!) and tri-color is recessive in the breed. Some fanciers love it, some not. Some breed for it, some away from it. But the recessive gene for it did not affect the red or black coats of the dominant color in any way, so there is no need to "weed it out" from the other colors entirely. Those who want it work to bring it in and those who don't go their own way and steer clear.
If the only reason to reject the Wheaten in BC lines is because the French are particular that way, it seems a little lame (now don't shoot me!) and lacking in American character to decide we must honor that, no matter what, if there is no greater reason than "they prefer it that way." However, if there is a diminishing effect on the BC when the Wheaten recessive is concentrated, then getting the Wheaten separated out completely could be argued for. My humble, non-geneticist opinion.
I, for one, think it would be a thoroughly delightful, unexpected thing to get a pretty Wheaten from a BC hatch! And if I did, I'd wanna crow about it!