Funny, I just went through the exactly same issue- having to get an RCA for my new amps.
Are these Absolute Copper's new or used? You say only a few days they have been playing, but you got them at a bargain which implies used- just wondering about break in- yes they need 200 hours from my experience.
I know my AZ Silver Reference II XLR's goes a little deeper in bass than the AZ Absolutes, but I think the bass weight (warmth) was equal between the two, but I don't believe I would call AZ Absolute's lean....
You are saying these other "lesser" RCA's you used had more warmth? Is that a case of the Absolute copper's being tighter and more accurate with the bass?
Another option, after having sufficient time with the AZ rca's if you still find them too thin, is to search for a power cable for the amp that can richen things up-maybe the PC you have is giving you the leanness? and/or balance that "amazing clarity and resolution" the RCA is giving you. I am surprised @ghdprentice didn't suggest his AQ Hurricane for the amp- he usually does -and it does add some weight, and slightly rolls off the highest frequencies, and makes the top end silky. Like he said it is all about the match.
I can tell you the RCA I got that sounds really nice, nice enough for me to have no incentive to change it, but I have no other RCA's to compare them to: Inakustik NF-2404.