Why Power Cables Affect Sound

I just bought a new CD player and was underwhelmed with it compared to my cheaper, lower quality CD player. That’s when it hit me that my cheaper CD player is using an upgraded power cable. When I put an upgraded power cable on my new CD player, the sound was instantly transformed: the treble was tamed, the music was more dynamic and lifelike, and overall more musical. 

This got me thinking as to how in the world a power cable can affect sound. I want to hear all of your ideas. Here’s one of my ideas:

I have heard from many sources that a good power cable is made of multiple gauge conductors from large gauge to small gauge. The electrons in a power cable are like a train with each electron acting as a train car. When a treble note is played, for example, the small gauge wires can react quickly because that “train” has much less mass than a large gauge conductor. If you only had one large gauge conductor, you would need to accelerate a very large train for a small, quick treble note, and this leads to poor dynamics. A similar analogy might be water in a pipe. A small pipe can react much quicker to higher frequencies than a large pipe due to the decreased mass/momentum of the water in the pipe. 

That’s one of my ideas. Now I want to hear your thoughts and have a general discussion of why power cables matter. 

If you don’t think power cables matter at all, please refrain from derailing the conversation with antagonism. There a time and place for that but not in this thread please. 
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For what little my opinion is worth, I think the cable mania is largely nonsense. But it does make sense that really cheap cables degrade sound so one ought to at least get a decent cable. As audio enthusiasts we all like gadgetry. Many of the top end cables are really nice so if one has the means to spend a fortune on cables and enjoys having them why not? 
Human listener is a weakest part of this measurement contest. Brain interprets things and add and distract what is not there all the time. Even more, there is a good chance if you put a microphone to a speaker and record sound from the same record several times you will get a slightly different result each time. Which one will be better? Who knows.
More power to you if power cord makes a difference you can hear.