It’s been said that you’re entitled to your own opinion, but not your own science. If a $1K power cable sounds better to you, than a quality standard power cord, so be it, but from a scientific standpoint, there is no difference.
I say this as a licensed, professional electrical engineer, who has designed hundreds of power supplies over my 40+ year career, many for mission critical applications. It doesn’t really matter what feeds the power supply of your amplifier, what matters is that the voltage coming out the supply is well regulated, clean direct current. In fact, this is the sole function of a power supply. If the output of a power supply requires some exotic power cable to function properly, that doesn’t say much for the engineer(s) who designed it. I’d be looking for a different amp with a higher quality design.