Dear Eric,
i have a mic with original AKG brass CK12 in Fixed bias C12 headamp.
i have tim's capsule too in elam 251E self bias headamp, and C12 configuration also.
i can tell you that these capsules are very very close to each other, but the sound of the mics is quite different.
We all well know that it's due to the electronic differences inside the mics, and body/head baskets differences too.
So i think that your last shootout is very interesting but not accurate.
your c12 clone is more noisy than the elam...maybe the tube ??
however , your hk12 sounds good to me.
i would a little more low end/low mid to it, it should just add more body to the sound, but please be sure that it doesn't come from the electronics...
if your using a matador C12 pcb for example, please insulate the teflon/high impedance parts to avoid low cut filtering.
i know that epoxy is a bad insulation material for mics...
Please check some various tubes as the inter-electrodes input insulation may vary from one to another.
the HK12 seems a little more sibilant than the original CK12 but it's perhaps due to the head basket difference.
i think that you're close to the Graal, but please use the same body or at least same headamp for your shootouts.
Could you post us a chart for your HK12?
Please keep going , you're so close and you've already done a fantastic job...
Kindest regards
Fred