Which is more important - Interconnects or PCs?

I also concur with RD - speaker, interconnect then (way, way back), is power cord.
Is a $5k cord worth it? - well, there were many wanted ads for one particular brand of $4,500 power cord that was alleged to "soundstage like crazy", but I'm quite sure that was the manufacturer's disingenuous marketing hype.
Stand by to ignore some genius with the obligatory "if you can't hear the difference, then your system isn't capable of adequate resolution" statement - there's always one in the crowd.

I take a bit different view, I completly agree dedicated lines for sure. After that I'd start at the scource componets down, my search took me IC then to pc, and yes the pcs made one hell of a difference (see my reviews of Beast and Polestar pcs) now I have new speaker cables ordered (IMO the last link in the chain). I agree that the cost factor is a major concern and I find myself searching for the gems that are far away from the $5,000 pricing but, provide netural presentation without coloration.

Well, I'd say power cords.

Because without them none of your gear would power up.

All are equally important, in my experience. Just wait until one doesn't perform as desired, and see how easy it is to ignore.

Too shay gunbei