What's the point in weighing in on this debate? But I will anyway.
Do cables matter? One can—as this among so many other threads, websites, and books abundantly show!—make cogent "arguments" on both sides. No one will ever settle the matter by argument.
As for settling the matter by listening...well, there's good reason to be skeptical of any confidence in this, too. In order to conduct a fair listening comparison, so many things have to be the case: very precise volume matching, blind listening, A/B/X tests repeated at least ten times, etc. etc. Furthermore, and perhaps more to the point with cables: there's plenty of empirical evidence that our memories for small details in sound last only a few seconds. To change from one set of cables running from the same amp to the same speakers quickly enough is impossible; you'd have to have two identical sets of speakers and source in exactly the same acoustic space. Finally, even if cables do matter (and I'm willing to accept on faith that they do, to some small degree), other parameters matter much more—the most important of these being the acoustics of your listening room. Because one can't change one's listening room as easily as one can change a component, or cables, folks tend to disregard the importance of the listening room, or at most try to tweak it with bass traps, diffusers, absorbing panels. But—assuming the same recording being played (the quality of the original recording is probably the single most important parameter)—the listening room is going to make a vastly bigger difference than cables will.
Somehow, the witticism attributed to Niels Bohr seems appropriate here. Noticing a horseshoe over his door, a friend expressed astonishment at Bohr's superstition. He replied: "I understand it works whether you believe in it or not."