Wow, that is a lot of power for a headphone amp! Congrats on your purchase.
The purposes of a power conditioner is power factor correction, filtering noise/EMI/RF, protecting your audio gear (or any electronics) from lighting strikes, and ultimately, enabling your system to perform at the optimal level. No false marketing claims included...just honest specs and verified by 3rd party testing. Bantam clean power (USA company) is what I’m talking about.
A proper power conditioner need-not be expensive. It’s not like buying a sportscar.
Check my profile out to see what I’m using. Price is unbeatable for this level of performance + features. Casinos, banks, and various other businesses already use these units. For audio gear, taking the strain off internal power transformers by feeding the system clean AC means cooler-running audio gear, and longer lifespans.
Regarding power cables, the maximum temperature rating (105 degrees, and up to a certain rating in watts is all you need to know.
I’m from the IT industry as well, where we have seen power cables catch on fire due to not having tolerances that are high enough for very power hungry servers. I would recommend hospital-grade power cords for audio systems, rated up to 1625 watts and faultless otherwise. It’s exactly what they use in every hospital and when folks are on life support machines.
Lastly, take a look at the power transformers I’m using. They are rated at up to 6 ampers of power, and can support up to 400 watts. And yet, the cable is thin. This is because it’s high purity copper that was JET (association in Japan) certified for safety, reliability, and performance. Hope this helps.