Directionality Explained

I wonder if having a preference for wire direction correlates to a sensitivity to absolute polarity.

I don’t think the physics of preferential flow direction are being questioned here. Geometry can create those conditions. Look at the Tesla valve in fluid flow for an analogous example. Diodes aren’t strictly geometry but are definitely have a directional bias. Since the structure of cable is not assumed to be perfect it should logically follow that one direction could have slightly different physical characteristics. I think where most people object is that since audio is composed of AC then the effect of these differences should cancel out.

There are people able to tell if an audio track is phase inverted. I think some entire albums are or only certain tracks. Some components also are phase inverting. I’ve never heard it so I can’t verify it. I believe this is why there is a phase inversion switch on some preamps. 
So if the electrons flow more easily in one direction than the other then perhaps those sensitive to absolute phase would be able to detect a difference. Can the same effect of reversing a cable’s direction be achieved by swapping the polarity on one end? My tin ears have never experienced it so I’m genuinely curious. Maybe some of those that have definite preferences in their own system can experiment for the edification of the rest of us. 

So what differences do people hear when cables are in the preferred direction versus the opposite? For an audible difference the cable must be imparting some specific signature, be it distortion, attenuation or or some other characteristic. Whether it is measurable or otherwise quantifiable is arbitrary. I’m willing to accept that there is a qualitative difference that some people are capable of detecting.

Since the charge moving through the cable is variable with the audio signal, only one side of that signal is moving charge in the preferred direction. Therefore, whatever sonic signature is imparted to the signal, it is acting differently on the positive part of the waveform than the negative part. If the cable is reversed then the characteristic signature is inverted and the opposite polarity of the waveform is moving charge in the preferred direction.

So if the cable is directional then in order to hear it, one would need to be able to differentiate between the cable’s effect on the positive part of the signal versus the negative part.

Has anyone done the experiment of listening to a system in all 4 configurations?

Cable direction A - non-inverted
Cable direction A - inverted
Cable direction B - non-inverted
Cable direction B - inverted

Somebody must have tried this, right?