Power is conditioned by the amp? Power conditioners which remove any DC current on the line restore the symmetry of the AC sine wave and prevent transformers from making noise. I have never read/heard about an amp that has this capability, though I'm sure there are some extremely expensive units out there that have this feature. This also goes with EM and RF interference on the mains. (I wish I could find the post by the President of PS Audio who said that, "theoretically", DC on the mains feeding even their best power regenerators could cause audible distortion (hum) produced by the transformers in their power regenerator. He suggested that a sine wave balancing device feeding the power regenerator would prevent this.)
Noise floor is a factor of dynamic range. As far as I understand noise floor, there are 3 types. The noise floor of the listening environment (dogs barking, HVAC, refrigerator running, etc.), the noise floor produced by the equipment you're listening to, and the noise floor of the recording. The last, obviously, can not be controlled by the end user. The first can be controlled by room treatment, location of the listening room, etc. The second can be controlled by power conditioners which re-balance the AC sine wave and remove EMI and RFI off the mains. The purpose of shielded power cables is to prevent EMI and RFI from re-entering the electrical supply between the power conditioner and the stereo components.
digital cables are immune to interference Optic fiber digital cables are immune to EMI and RFI, but coaxial cables are not. Digital coaxial cables are also capable of transmitting noise (ground loop hum, transformer hum, etc.) from one component to another. I have never seen a good digital coaxial cable that did not include shielding in its design to prevent EM and RF interference. I am assuming it is there because it is needed.
gear is capable of better-than-human range [hearing (?)] I know that at Audioholics it is accepted as a given that you can not hear audible differences between cables, DAC's, and bit/sample rates, etc. But it really depends on who the "you" is. Some people have excellent hearing and have trained themselves to listen....well. This video from Grammy winning mastering engineer Bob Ludwig contains a couple of anecdotal stories of how great some people's hearing is as well as one about being able to hear a difference from changing out cables: