Riddle me this....

Results Depend upon the type of speaker (unidirectional vs dipole vs bipole and line source vs point source), the room, and listener bias. But no, it’s not as simple as your proposal suggests. With my dipolar ESLs, I hear no effect at all of changing phase by 180 degrees.

When you reverse the polarity the first thing that you notice is that a voice that was centrally located and focused becomes very unfocussed. It's not a good idea for any reason.

I have reversed the polarity of my apogee duetta speakers because my preamp inverts phase, the voices are centrally located and the focus is just fine.

@invalid 

Well of course, if the pre inverts phase you need to reverse the polarity at the speakers.

Recordings are phase inverting about 50:50. The only thing that changes is that records that were out of phase now will be in phase and vice versa. That is why a switch to invert phase is highly desirable in a digital component.