Not sure if you are aware of Fred Davis's AES paper.
http://bruce.coppola.name/audio/cableInteractions.pdf
While it may not be perfect, it has some good info in it as to frequency responses of different cables he measured. He did not test for audibility between speaker cables.
Combining that data with known JNDs for at least amplitude level difference detection, one can start putting pieces together. But then, that is just a small part of the whole picture.
Another part is in this AES paper.
http://home.provide.net/~djcarlst/abx_crit.htm
The above paper shows that it gets even more difficult as the bandwidth of level differences also has an effect on detection. Is this level difference over 1/3 octave? Wider? Where in the frequency band is it? In the most sensitive region of detection, around 2kHz-4kHz? Below 80Hz? Above 10kHz?
I would recommend making contact with Sean Olive, mentioned elsewhere in this thread. Spent his career researching credible detection methods and protocols, etc.
http://seanolive.blogspot.com/
You are aware of Dr. Floyd Toole's works you mentioned and perhaps his book as well available through Amazon.
Not sure what else I can help you with. Contact some other credible researchers in the fields? You may need to do some original experimentation and publish in peer journals?
You also mentioned 'other's claims.' My first question to those claimants would be: how was the listening tests conducted? How credible was it? Can it be replicated? Claiming is one thing, demonstrating is another. Just be careful.