I’ll add my $.02 of observation - about all it’s worth. I won’t profess to understand why or explain how as I’m a finance guy (retired) and realize the limitations of my background in this area.
I auditioned some TOTL speaker cables - in a line whose “house sound” I am well acquainted with. The dealer didn’t have them in stock so he had his distributor ship them to me. I didn’t like them as they weren’t an improvement over the brand’s model I had in system. The dealer was really surprised and we discovered in talking that the distributor sent me a fresh pair that had never been used. Dealer was frustrated and got a set that had been played in which resulted in a different experience. No - not night and day as the general sonic signature was the same, but there was an ease to the sound that was missing before. Cable break in is fairly well documented.
If cable “break in” is a thing, then is it not possible that they break in directionally? Again - not a physicist. But it made me aware of the potential.
It would not surprise me that some cable types and topologies exhibit this effect to more than others. I’ve since moved on, but used Silversmith Fideliums (superior performance/value at their price range) speaker cables for several years. No dialectric, floating ground, or direction indicated. I can imagine those being somewhat or even entirely immune to the effects of directionality. Indeed, I did not experience them breaking in over time though they may very well have. I can only confirm they were good out of the box. But Nordost and AQ are clear in indicating direction and their topology is markedly different. And I did experience break in with Nordost. On my Matthew Bond speaker cables, they did improve with time (could be my imagination) but the effect was less pronounced than with Nordost (pretty sure it wasn’t my imagination).
My local dealer then relayed a story about another audiophile customer of his who is a professor of biomedical engineering (I believe - might have the discipline wrong - but science related) who does work in the medical imaging field. That customer relayed to him the need for cable break in on their sensitive imaging devices. He said the quality of the image is notably better after the cables have settled in for several weeks. The dealer relayed that story to me after my experience - so it was not “expectation or confirmation bias” that I was exhibiting. It was data confirming what I had already heard.
As always YMMV - particularly given the remarkable variations in cable chemistry, topology and technology employed. Interesting discussion.