Directional cables - what does that really mean?

Some (most) cables do sound differently depending on which end is connected to which component. It is asserted that the conductor grain orientation is determining the preferential current flow. That might well be, but in most (all) cases the audio signal is AC (electrons going back and forth in the cable), without a DC component to justify a directional flow. Wouldn't that mean that in the 1st order, a phase change should give the same effect as a cable flip?

I'm curious whether there is a different view on this that I have not considered yet.
Jea48 - yes... seems that the question is not new. I should have looked at prior art before starting a new tread. Bummer.
"Thank you for correcting Geoff's view.
Cbozdog (Reviews | Threads | Answers | This Thread)"

I wasn't trying to correct anyone. I wasn't sure myself and was just looking to see if I had it right or not.
For interconnects with a shield there is less EMF/RFI pickup, when the shield is connected only at the source end.

EMI/RFI may or my not be a problem. It depends on if radio waves or power cables are nearby.
Geoffkait said: "The electrons go back and forth, at least somewhat and at very low speed, they are virtually standing still..."

So are we to assume you have proven Dr. Heisenberg's Uncertainty Principle to be invalid?