I've not heard and don't quite believe single barred males are desired in other countries.
I'm inclined to think this is a perpetuated misnomer attempting to describe why some males are dark and look like hens when the double barring should make them look much whiter.
How that is actually achieved is keeping a separate male line that is perpetuated with dark hens. There are pullet lines and cockerel lines and some breeders running both lines separately to have show quality cocks and hens. Barred birds benefit from this double mating system as the standard calls for the males to look similar to hens, and we find it more pleasing to the eye.
Double barring by nature will lead to wider white bars that make the males look lighter than the females. It has to be kept in check by strict selection of breeders or keeping a cockerel line to produce show quality cocks and the pullets of that line would not be of correct pattern.