Photon46 makes some excellent points. Even the factor I mentioned, about high frequency noise generated in the power supply and/or power transformer of a power amp coupling into the amp's power cord and then radiating into other parts of the system, would be highly system dependent in several ways.
Both the amplitude and the frequencies of the noise would be dependent on the amp, and also on the music being played. The degree to which the noise would couple into other parts of the system would be dependent on the effectiveness of the shielding in the power cord, the placement of the power cord relative to other cables, power cords, and components in the system, and the sensitivity of the other components to that noise. All of that figuring to be highly inconsistent from system to system.
One small correction, though. I'm pretty certain that analytical and "linear" thought processes are considered to be left-brained thinking. It is right-brained thinking that is intuitive, sensory oriented, and perhaps subjective to a greater degree.
Re Paulsax's questions:
1)One reason that the construction of the power cord would be more important than the construction of the house wiring that feeds it is this issue of shielding. Shielding in the power cord will obviously play a more significant role in preventing noise emanating from the corresponding component from radiating into other parts of the system than will the house wiring, due to its closer proximity to other parts of the system.
2)Re vibration sensitivity of power cords, my answer, as an experienced multi-degreed electronics engineer and analog and digital circuit designer, and as a long-time audiophile, is that I don't have the slightest idea. :)
Best regards,
-- Al