I think the difference is in the distortion, or with the fancy powercords. the lack of distortion.
I agree there can be no magical wand waving. It has to be right there.
So if the music is just being repeated, and the equipment is untouched, no volume change.. etc.
Only the powercord is changed.
Well consider the sound as 100% of whatever it is. Not just the music, but the distortion artifacts. So ALL the sound created by the system is say 100%
As a made up system, lets say it has a source, a preamp, and an amp. A cord for each. (plus speakers which usually don't get a powercord)
And say with the stock cord the distortion in the AC from the wall is 4%
Typical!
SO we can also posit the power supply of each component reduces the distortion to 25% of what it was/SO now with stock powercords the source passes 1% into the music the preamp 1% and the amp 1%. So with this made up notion, the 100% of noise generated by the system includes 3% of junk. and 97% music.
With the aftermarket powercords, they alone reduce the distortion from the wall to say 1%.(these are HIGH END $$$ cords, and a guarantee that is what they do)
So now the source cuts that to 25% of whatever it was (typical way it works) and so each of our components now produces 0.25% added garbage to the music. or a total of 0.75%
And thus if the noise total has to be 100% (and it DOES) then 2.25% MORE music is hearable from the system with the fancy powercords. And so it Does sound louder, and the music is louder. (while the distortion and garbage is less)
Magic/logic?
Thank you.
Now the EE guys may come and argue the percentages, they cannot ague the logic.