How or why power cords make a difference, I don't know, but they certainly can. I've listened to several "cable engineers" explain the phenomenon and I can't say that they all say anything that is consistent. Back when I had my own high-end shop, I experimented with power cables (as well as signal cables) quite a bit. Some made little difference, and some impacted the sound in a very audible way. I had my favorites at that time (about 12 years ago now) but the available offerings have expanded now. In particular I found that Cardas made some power cables that were reasonably priced (relatively speaking) that could "calm down" aggressive sounding amps, pre's and Digital gear. I also found that the Harmonic Tech Magic (???) cable was an excellent power cord. Twister Pair Designs also made a very affordable model that made both sonic and financial sense. I still find it pretty hard to drop much money on "upgrade" power cords, but I do have a few of em 
I love quality power cables, but have been raked over the coals for my opinions........hence, bailing wire, wrapped with electric tape, the twisted together and attached to your local DollarStore plug is the best power cord you can get.