roxy, In your first post, I think you are thinking of the situation where one channel is 180 degrees out of phase with the other channel, in a stereo system. Yes, that causes very obvious problems, and needs to be corrected so that the two speakers are "in phase" with each other. The OP is asking about the situation where you reverse phase on both channels at the same time. Many listeners think there is a "correct" choice and say they can hear important differences when the choice is incorrect. For many boring reasons related to how recordings are made and room acoustics and the nature of crossover networks, I do NOT think there is a correct choice, so long as the two speakers are in phase with each other, but I do think that with many monopolar speakers and depending upon the room, there may seem to be a correct choice to some listeners (not to me in my room with dipolar speakers and using a panel of listeners who were blinded as to speaker phase). To each his own, in other words, in my opinion.
The logical extension of my findings for my system is I don't care a fig whether the preamplifier or any other component in the chain reverses phase (in both channels of course). And I would not agree to the OPs proposition that inverting phase in both channels causes the image of the performer to move fore or aft.