Wasted money is wasted money and it could be put into something better like vinyl.
From my perspective, there are two main things to consider. First, the advertised engineering behind the product strongly states, from a logical perspective, that an upgraded power cord should NOT make any difference. Second, if you assume that the manufacture is being honest in their adversiting and you do hear a difference with an upgraded power cord the logical conclusion is that it's for a different reason other than it actually improving the output of the regenerator. As Al mentioned earlier, there can be differences from using shielded power cords because they isolate themselves from other sensitive components and/or cables. If this is true, then it still doesn't matter what is behind the outlet unless you're planning to run 100% shielded lines and this is unlikely.
Just because you hear a difference in an A/B doesn't mean that it's due to a change at the output on the regenerator. Don't forget this fact.