Ergo the need to tweak to get them to sound the same. You did see that above, correct?
Yes it is based on the assumption, from anecdotal data, that person after person that has taken blind tests of the KPA with the Amp that was profiled, couldn't tell the difference. Yes, have to take that assumption that that constitutes accurate, and if so, then if one can make the Axe model match the KPA profile, we have a transitive connection.
And, frankly, for me, That is all I care about, does it walk, talk, look, smell, taste etc like a duck, then it's a duck for all practical purposes. When I play it, does it sound and feel like a tube amp? When I record it, does it as well? When people hear me play it, or hear the recording, can they tell the difference? That's All I care about. And they both do
Your level of satisfaction is something different, as regards this. Fine, soldier on. BUT, what criteria YOU hold as the pinnacle of accuracy, holds true, and there is no other way around this, for you. My criteria holds true for me. anything else is just you taking a "holier than thou' attitude to the whole concept and discussion.
And, for what it is worth, your not entirely correct on "KPA is only 100% on target at a single operating point and extrapolates the amps behavior as soon as a knob is moved and there is no guarantee the KPA is 100% accurate since it is just a different digital emulation device." For certain aspects, like gain and volume, there is a sweep that isn't extrapolated, as that was determined as part of the profiling process. EQ, and complete interaction of all controls, yes your correct.