Thanks for sharing your listening test. I am actually not surprised at the results. The only times I have suspected hearing a difference in power cables is when switching to a much larger gauge cable. Even then, I did not try a structured test like yours so I cannot confirm whether I would be able to select the larger vs. smaller cable with reliability.
If you are still curious about your cables, you might look at this thread. If you check with Amir at ASR, and offer to send him one of the power cables, along with a summary of your listening test methods and results, I suspect he would test the cable for you.