That was done some number of years ago in a Kenwood amplifier, in a line they called "Audio Purist". It created a need for a composite cable with sense leads, but AFAIK the cable folks never picked up on it --- I would conjecture because it used a lot of negative feedback, which had gotten a bad name among audiophiles by then. See also Bruno Putzeys' article "The F Word", in Vol. 1 of the new bookzine Linear Audio, for some of the history of anti-negative feedback sentiment.
Thank you for your article. Perhaps I missed it, but I haven't seen power amplifiers that attach sense wires to the loud speaker terminals for their negative feedback rather than at the output terminals of the amplifier. Power supplies do this, so I'd expect audio amplifiers would too, thus negating much concern for the types of cables.
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