Herman notes:
I haven't conducted any experiments to confirm this hypothesisSomeone else has -- and I tried desperately & unsuccessfully to find the ref. Apparently you WILL notice a discrepancy. This, (afa I remember) is variably termed as "slight loss of detail" or "microdynamics", etc. This "discrepancy" was particularly obvious when the same musical passage was played with fundamental & 2nd & 4th harmonic shifted into the pass band. ANyway, if I find the ref, I post it.