The reason why so far there have not been any responses to your question: it's not easy to use language to describe sensory perceptions, including aural perceptions of microphone capsules.
The first hurdle: unless you install a CK12- type capsule in a genuine AKG mic that was originally designed for the CK12, the variables presented by the processor's response are insurmountable: you cannot get to a base line.
But even if you installed a CK12 copy in an AKG mic originally designed for it: I may be in the minority, but I have not yet found any aftermarket CK12 copies that satisfy me. The capsule is extremely complicated to make, or copy precisely, more so than any other LD capsule I know. So chances are high that not all parameters that contributed to the sound of this capsule can be copied 100%.
Then there is the issue that some manufacturers, like Herbert Haun, were using the original AKG CK12 just as a starting template, to interpret the individual sound they wanted to achieve from there.
But there is no question that an attempt trying to truly "clone" a CK12, i.e. copy precisely, is very hard to execute, if not entirely elusive.
I should look again into Tim Campbell's efforts, to see whether I may need to change my opinion.