My experience is that the power cord to the conditioner has been my most important cord, bringing the greatest overall impact for my system's sound. This has been true with quite a variety of conditioners: early Shunyata Hydra 8, Audience AR6, Audiodharma PowerWing, Weizhi PR-6, HB Cable Designs Acrylic and Marble units. IME it seems that every component benefits from the qualities of that first cable (and I also agree that the power cords from conditioner to components matter a fair bit, too).
I am using a PS Audio P-10 regenerator now, and this is the first conditioner that doesn't seem to improve with some of my better power cords (e.g. going from an Elrod Statement to a Statement Gold, to a Diamond MB X2 made no difference to my ears). However, going from a stock cord to the Elrod Statement was a nice improvement. In all of the other above listed conditioners each cable move up was rewarding and worthwhile IME.
I am using a PS Audio P-10 regenerator now, and this is the first conditioner that doesn't seem to improve with some of my better power cords (e.g. going from an Elrod Statement to a Statement Gold, to a Diamond MB X2 made no difference to my ears). However, going from a stock cord to the Elrod Statement was a nice improvement. In all of the other above listed conditioners each cable move up was rewarding and worthwhile IME.