i havent read harleys book
but one of the reasons that correct absolute polarity is important (provided that the recording was done correctly with all mics and processors in correct polarity) is that music waveforms are asymmetrical. that is the top half of the wave as displayed on an oscilloscope is quite different from the bottom half.
therefore, the compression part would seem to carry the forward part of a transient and vice versa for the rarefaction.
i too have heard a cdp with phase reversal, remote at that, and trying it just to see, one way sounded right and the other sounded not quite as right. i had no expectation and i didnt run out and buy a device to do this, nor do i run to reverse my speaker polarity BUT it would be a nice remote feature to have, dontcha think?
this isnt snake oil nor smoke. its a real effect that can add to the realism of a recording being played back and its free if you want to do it physically.