... Another is a larger gauge wire to minimize voltage drop. This is a valid approach. Here's the thing: The power cord is a tiny fraction of the circuit from the power panel to the amp. Reducing the resistance of the cable is like trying to raise the level of the tides by adding the contents of a coffee cup -- run the numbers, and it won't make a difference. The real way to reduce voltage drop is to increase the gauge of the power line...
Just to make certain I understand, you're saying that reducing the resistance of the power cable won't make any difference, and that the real way to reduce voltage drop is to increase the gauge of the power line. Okay, but since the way in which the thicker wire is beneficial is apparently not by way of reducing the resistance (because this "won't make any difference"), then what is the means by which the thicker wire minimizes voltage drop? By the way, have you ever measured the voltage across a power cable (when the power cable is connected to a functioning piece of audio gear)?
Then there's the matter of filtration. Lots of garbage on power lines, to be sure. Whether this matters is a good deal less certain -- again, I haven't heard it -- and filters can slow the recovery of the power supply.
The reason you don't hear it is that it is removed by the power supply filter in your audio equipment.