....Manual says this is an absolute phase inverting product and speaker connections need to be reversed at the power amp end...
QUOTE]
Nothing of this does matter, if only the left and right speaker cables are connected the same way to get both speakers in-phase. Why? Any unit used in the recording/production process may be inverting or non-inverting: The microphone, every amplifier or buffer stage, you name it.*
Among sound engineers it is traditionally established as a fact that nobody can hear any difference anyway, so they do not care if the piece they put into the chain is inverting the signal or not.
This means that the typical record collection which contains records from several labels, of different vintage etc will contain just as many inverted as non-inverted recordings, statistically. Therefore an inverting playback set-up may in half the cases actually give a non-inverted final result, and vice versa.
It probably. would be a sensation if a person could prove beyond doubt the he could detect a difference. Even a sound like hand-clapping which is very simple and should make the mic membrane moved inwards at each clap and -ideally- a loudspeaker membrane move outwards,
(assuming no further distortion in the time domain), will sound essentially the same to the human ear if inverted. (to feel sure myself about this, I have experimented a lot with my own recordings and a physically working switch).
Now let us say that someone in the tiny group of audiophiles who claim that they can hear the difference, owned (or bothered about) only one single record and the recording was made from one mic (or a single set set of identical mics, and no other fundamental distortion in the time domain was introduced, say in the speaker x-over), then one could understand that he wanted to get it right anyway/just in case.( But if this was non-acoustic or a multi-mic production, it would probably contain both inverted an non-inverted material, and make the task even more hopeless).
Sorry for my English, it is probably far from correct, and I hope I have not inverted the truth. Cheers,Z
*The two leads coming from the mic will give a positive or negative signal for a single soundwave hitting its membrane, depending how you connect them to the nest stage, it just like a loudspeaker in reverse.