Damn. I missed this message and it makes a lot of difference.My guess is "mellow" equals "distortion". But you can put 20 different audiophiles in front of an A/B switch and get 20 different answers -- and that's with only two choices.
You are thinking with the wrong hat. Put your used-car-salesman hat on:
Step 1: Call yourself an audio expert, audiophile, whatever -- insist that anyone who disagrees with you is an idiot;
Step 2: Put two tubes in a box -- call them matched
Step 3: Sell them as "Superior Matched Tubes" at $6000 a pair.
90% won't be able to tell the difference, and the remaining 10% will assume they must be wrong because, well, $6000.
I've never seen it described as 'distortion' although I believe you are correct. It must be distortion. Nothing else fits.
Sorry. I burned my 'used car salesman' hat while I was in Honduras.