Can you hear RF? The answer is NO.
Does the equipment use the 60Hz AC in the audio/signal chain? Again NO.
The power coming into any decent quality (over about $50) goes into a transformer to change / divide the voltages (+/-), then into diode bridges to turn it to full-wave rectified DC, then through large filter capacitors / bypass capacitors to clean up the dirty DC into smooth DC, then thrugh voltage regulation, often filter caps again (smaller) as it goes into different stages and more regulation, ... not only can you NOT hear RF frequencies (by a huge margin), but the power supply is designed to take sometimes voltage swings of 200V P-P and turn it into smooth DC, that's what it's there for.
Sure, I've tried different cables, different power cords, yes my systems would be considered "high end" by most measures, currently running mostly the power cords that came with and were tested with the equipment I bought because I trust it and it isn't as much of a pain to pack behind my system as some of the boutique cables and the boutique cables really didn't do anything other than turn money into bling. My son has most of my trial and fun purchase cables. I have a box under my bench of some of my "favorites", they're in a box though, not in my system.
I also have a heavy and expensive power conditioner sitting on a shelf in the garage as I realized it too was redundant, using a more reasonable rack-mount power strip.