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. 
Keep in mind, you would need equipment that has an iec connector, unless you are willing and able ( as I have done many times ) to internally rewire the factory cord with an upgraded cord. Most newer equipment has iec inlets, most older pieces do not ( which is why maybe someone has not tried after market cords ). But it is the blind, deaf and dumb that makes such arguments. Pcs make a difference. Enjoy ! MrD.
I tried some version of the AC9 a while ago, and the darned thing was so heavy that it almost pulled itself out of the socket on the back of the unit.  Returned.
They are big and heavy. You almost need a way to secure them. My amp sits low enough to the ground that the cable sort of props itself up. 
... props itself up off the ground. I know I committed an audiophile crime. 😃

I tried 3 Pangea Acc9 MKII cables and also an AC14 something and they all sucked the life out of my system.  Back they went to AA.I use the mid priced Shunyata cords in my system and am extremely pleased.