Sorry people, but from a mathematical/electronics perspective, most of these things are incorrect. At least using the standard conventions. I don't know anything about how drivers are responding to signals or the whole physics of that, but this much is true:
1. If you are talking about only a sinusoidal AC signal (as appears to be the case), reversing polarity is the same thing as being out of phase (that is 180 degree phase shift). While the observation that the signal with opposite polarity is just the same in-phase signal with -amplitude seems ok, it is really the same thing as saying that it is the the same +amplitude signal with 180 degrees phase shift. -A*sin(wt+d)=A*sin(wt+d-180degrees). So yeah, it is out of phase. What is causing this confusion is the convention that when you are doing a polar representation of a signal (amplitude, phase), the amplitude is defined as being non-negative. As in, you can represent any sine-wave with a non-negative amplitude and a phase.
2. Looking at time delay with periodic waveforms can be misleading. The two waveforms are in phase with each other at every multiple of the time period of the wave, but that does not mean there is no time delay between them.
3. Music is not just a sine wave. That would just be a single tone. It would be represented as a combination of such waves however, and the same principles hold true.