As I see it, ABX is a way to force wirephiles to prove what they say they can hear. It is not to judge the quality of a wire for a purchase decision, which as Werd rightly says requires long period of solitary listening, but to demonstrate whether the listener can identify any difference in the sound, enough to pick it out of a two man lineup. Any difference. Any difference. Not "good or bad" to buy it, just Any identifiable difference, at all. Such a test is relevant only because of the price of the exotic wires and the insistance by the manufacturer and owners that they are worth it.
It's like the game "Concentration"
See the picture, remember the picture, find the picture again. You win!
Except now it's audio concentration:
Hear the wire, remember the wire, find the wire again. Hopefully you win... No?!? uh-ooohhhh
If you practice ahead of time it's no fun. The unfamiliar listening environment reinforces the value of the result. ABX is not listening for quality. This is not a relativistic comparison. It is an absolute comparison - are they the same or different? ABX cannot affirm the true value of an exotic wire, because it cannot judge quality. It is simply a head smack for deluded audiophiles and the manufacturers of their idols. If you don't see the value of a head smack to conceited deluded wirephiles and manufacturers then you won't ever see the value of ABX test.
Here's an example to prove the value of ABX testing. Make PCs from a highly resistive conductor, put huge caps on it, soak it in corrosive chemical to tarnish the connectors. Now compare that to a well made $10 stock cable. We can all agree that there would be an audible difference, and it could be identified reliably because the first wire causes equipment to malfunction. The ABX test itself is legitimate. It's the results and the purpose of the test that people object to.
I believe that there exist quality power cables that can pass the difference test. That doesn't mean they are better than stock or any other brand when placed into
your unique system, just that they are indeed identifiably different, and so are worth investigating further for their particular sound quality. But at least I know I'm getting
something for my money compared to stock. It is humiliating if the wire cannot be identified from stock. That's the point of the test. It is a head smack. No wonder the method has opponents. Tough love hurts.
Oops, now we'll never get 5 same cords together in one place...