You heard Emotion, (then) $1000 for the 1st meter. Far, far from "top $" as far as power cables are concerned.
And I don't find CC neutral in the least, in the two (three if you count speaker rotation) systems I've heard.
There is no possibility the CC cable is going to be a reference cable imo, but otoh all we really have is comparative experiences, and I do think using one cable as a point of comparison is a good idea.
I think it would be even better if you select one cable that is very neutral, but doesn't omit as much as a cheap copper cable, like a high quality UPOCC silver cable. IMO UPOCC silver is the best reference as it has the best dynamics, the best resolution, and shows the most differences between recordings, but it's also not warm enough and I'd agree tone may not seem realistic enough. Most people would not enjoy a loom of pure UPOCC silver cables but I do think it makes for the best reference. All of my top end cables are based on UPOCC silver, but none of them are actually pure round-wire UPOCC silver for that reason.
I think CC and a UPOCC silver cable could both be good points of comparison, but for different reasons.