It is for sure, different amps or different ears.
The best way to isolate amps from the rest of the components is to use dedicated outlets.
Shielding in power cables must be grounded. We have tried a great collection of cables, and the Shunyata Sidewinder, a well shielded cable, won the day for all listeners, all the time. The music gained in dynamics and noise floor reduction. I have found using much less expensive bulk shielded cables, grounding them myself, is nearly as good.
Granted, ASP ICE modules have a built digital supply. It does not need an added supply system. 500A ICE modules have no digital supply, and do need an external power supply.