@mahgister
what have you read of Essien to this day? Which articles?
I am afraid, nothing except the BITS. Still have no time to reed them thoroughly.
I think that perhaps in Essien experiences with string internal variable force of tension is the beginning of an answer.... If pitch is not reducible to frequency because of this mechanical invariant linked to tension perhaps a string like a cable react differently affecting the sound result when the orientation of his constituants fiber are twisted in one direction or the other....
I haven't read about his string experiences yet, but I have my own personal experience on the subject. I was restoring an old broken violin ten years ago, doing this to get an idea of the direction of the parts of musical instruments. Here is the article, but unfortunately it is not translated. After the violin was restored, I experimented with various violin accessories, including different strings.
The most surprising discovery then turned out to be that the metal string E has not only a conventionally "electric" directivity, like all other wires, but also a "mechanical" one! The violin sounds more precise and reach when the beginning of the string is on the side of the pegs. At the same time, the advantages and disadvantages of the sound of the string could be evaluated both by playing the violin and using the string as a wire.
I had one Chinese string with a disgusting, rough sound, its screaming was very noticeable in both electric and acoustic variants, especially live right on the violin. Seems everything around us is connected in some cunning way.