In addition to Amir M., Ethan Winer has done extensive research, all available on his website and on YouTube. I recently bought some acoustic traps from him. In one of our discussions, I mentioned that he would have a hard time convincing those who know (believe, hope?) that different power and signal cords sound different. He said that he realizes that. He is attempting to inform those who don't yet align with either but want enough information to make an informed decision. And Amir has stated that he founded his website to point out when measurement of some products indicate that said product does not meet baseline performance specs, and/or are too expensive for the performance offered.
Both Ethan and Amir have clearly stated that they can show their conclusion (no sound difference) by measurement. As mentioned above, a Physicist has written a paper that indicates that cables may sound different. I have not read that paper since I don't want to spent the $125 needed to join the AES. I can't find a way to buy just this paper. I won't comment on it now.
Seems to me that this conflict can never be satisfactorily settled, no matter how many blind tests, graphs, papers, anecdotal expressions, etc... are offered. Both sides have dug deep trenches and are firmly buried. I find conversations on this topic do nothing to solve the differences, but drive the sides further apart. One can easily have great fun and enjoyment from music and one's gear no matter which side one is on. There's plenty of equipment available for both sides to choose from.
My advice is to just stop bickering. Let each and every one decide what criteria he/she will use.
My education and career is in Physics (MS). I've developed optical and electronic gear for many decades (signals and systems development).
I am on the side of Ethan and Amir.
However, I have returned amps and preamps that do not sound good in my system, no matter how good the specs are. Impedance matching is important. Signal levels at each point in the audio system must be maintained within certain limits in order to avoid introducing distortion. Power supplies must be robust with lots of headroom available and need sufficient filtering to reduce AC components to an inaudible level.