Please accept that I am offering the following in a friendly spirit. My intention is not to be argumentative. Rather, I'd like to clear up a few things.
I wuz just answering the above question.
The only thing 'correct' about polarity is the design intention of the piece of gear.
If it's polarity is one way on input and the opposite on output, something is wired wrong (unless it's purpose is to reverse polarity).
This is not true in general. For example, many op-amp devices will invert phase. The output of such devices has polarity opposite to the input yet they are not wired wrong and there is no specific intent to invert phase.
The 'convention' of positive polarity from a source (a speaker compression/outward movement as opposed to the opposite) is just a standard.
I agree. It has become convention that when a positive voltage is applied to the "hot" side of a loudspeaker connection, the cone should move outward. When you play some source of sound through it, the first voltage change need not drive the cone outward or inward.
All microphones (as well as ears) hear things by rarefection. The opposite of the source.
Something is amiss here. Sound waves are longitudinal waves consisting of compressions and rarefactions. Neither microphones (be they piezo, moving-magnet, ribbon, electret, condensor) nor ears "hear" by only rarefactions. It takes both in order for anything but a DC pulse to be transduced. That is, you gotta wiggle it back and forth (that's technical talk

).
You can't tell from a distance. It only matters up close (where you hear/feel the 'sucking' vs outward pressure. And it's only a problem with MULTIPLE SOURCES.
Such "feeling" has nothing to do with hearing. If you are considering audio frequencies, you cannot discern the individual "pushes" and "pulls" of the transducer (the speaker) re what you are hearing.
When recording/listening to any instrument with a direct input and a mic at the same time. The mic hears only ONE polarity (The capsule never goes 'out' first, just 'in'. Like an eardrum.) shortly AFTER the sound is made (it takes time for sound to travel). The DI signal is heard 'instantly' (no time delay between the 'pickup' and the source) and either has positive or negative polarity.
With all due respect, this is completely incorrect. The microphone capsule absolutely moves in and out and so does the eardrum. In the case of a microphone, that's how you get positive and negative voltages with respect to the neutral or resting position of the diaphragm. Delays that occur via a microphone are not a result of the time it takes to move the diaphragm. Rather, they are a result of the group delay that stems from their filtering properties.