This is insanity writ large: "... synthetic materials (such as a nylon carpet) will store energy (picking it up from the flow of current through the cable) and will then release that stored energy randomly. This random release of stored energy back into the cable will muddle the sound to some degree."
The question remains the same, even assuming, for sake of argument,this gobbledygook about storing energy is correct: what levels of energy are we talking about and how are they perceived by human hearing?
Elves, leprauchauns, angels, archangels, flying spaghetti monster are those equally as real as the skin efect and carpets gobbling up energy?
As an added simple enough question: what passes through an audio cable?
