If you want to learn what different power cords can do in detail, see my reviews on Dagogo.com of the various cables I have used. There is plenty of technological information explaining how they operate. In my experience conductor, geometry, and total gauge are the primary influences of what a cable will do.
I appreciate your being candid: "I'm really curious because I was never totally in touch with Jylee's discription, and could not offer a ready explaination [sic] of why he experienced such a change."
Here's an explanation for you regarding total gauge, just one variable in cables which comes into play. Typically a PC with higher total gauge will clean up, tighten up the bass very nicely, so well that it's easily discernible. Solid core conductors are better at this than stranded. Geometry also influences how well this works. I have found that multiple smaller conductors in their own dielectric, yet having large total gauge, yield the cleanest presentation and highest detail (This also was true of the exceptionally flat sheet conductors that Magnan Cable uses).
(Now I'm sure someone somewhere has a funky cable that doesn't operate that way; I'm not interested in debating it with you as well! This is the typical result from increased gauge, only one variable in PCs)
There's only one thing I need to say about phase, and that is when the rig is out of phase the sound is more indistinct, more fuzzy, less refined, a bit expanded and disjointed - the exact opposite of what Jylee explains. He consistently discussed more detail and sharpening of the sound. If we are agreed that PCs do not change phase of a system, then the influence in this case can't be the phase from merely switching two PCs.
I perceive Jylee's description as that of the PC cleaning up the signal so as the bass has less bloat (perceived size), better phantom image (less width) and deeper sound stage. These are all quite possible with PC changes. If the two PCs he changed are not identical then he will not know what the effect of each is. If he had two of each then he'd likely know quickly which he prefers. If a person has a mix of stranded and solid core conductors they will never know what they really have in terms of sound of their cables.
I have argued that two power cords were changed, and stated that they can produce such differences in sound. Now I have provided the link to my writings that people can read about the technology which influences such differences. Possibly the Wire World article will be the most helpful.