Again, you did not respond to my questions on-point, instead, essentially, regurgitated the much-rehearsed mantra. Arguing religion is pointless. I'm out.
It seems to me that what you are dismissing as a "much-rehearsed mantra" was actually a rather nice summary of how one should approach claims or assertions made in almost any walk of life, if one is not to fall prey to every scam, every con-artist or every charlatan who is out there. Whenever one encounters a claim or assertion, whether it be in audio, or investments that can't fail, or belief systems, or whatever, it makes sense to subject it to some sort of plausibility tests before accepting it.
In the case of cables connecting pieces of audio equipment this is rather easy. We understand all the physical principles of operation of the various components, and we can easily make order-of-magnitude estimates of the likely influence of cable characteristics, by considering the resistance, capacitance and inductance of the cable versus the output and input impedances of the devices at its two ends, and so on. These estimates make it pretty clear that unless the cable is grossly defective, it is likely to have at most only a very tiny effect on the sound. In this sense, it is already looking likely that it is in the "paper clip or carpet tack" category that Groucho spoke of.
Having made these estimates, one can now ask about actual experimental data. The obvious first thing to ask for, if a claim of an audible difference between two cables is made, is for data on the resistance, capacitance and inductance of the two cables, and for measurements (frequency response, etc) of the performance. This kind of information is not commonly available, especially from the manufacturers of "high-end" cables. The other experimental data that one can ask for is listening tests. But these are almost worthless unless they are properly-conducted double-blind tests. Glowing reports by a reviewer for a glossy audio magazine whose job depends upon keeping the advertising revenue flowing from the "high-end" manufacturers just won't cut it.
I have come across reports of ABX testing of cables that found no evidence for differences (for example, on the website
http://home.provide.net/~djcarlst/abx_data.htm), but I have not come across any that reported finding audible differences.
So, as Groucho said, until such time as some real solid evidence is presented that demonstrates the audibility of cable differences, the simplest and most pausible "null hypothesis" seems to be perfectly satisfactory. And by the way, if it ever
were demonstrated in ABX tests that a particular high-end cable did produce a better sound, the sensible thing to do would not be to rush out and buy it, but instead to put together a cheap cable that mocked up the same R, C and L characteristics and then test that against the original in further ABX testing. Of course no audio magazine would do that because they know on which side their bread is buttered.
Chris