...and after also reading Stephen Paul's article in Mix Magazine from the late 1980s:
http://mixguides.com/microphones/vintage_products/audio_vint age_microphones_part_3/
you may still not be closer to an answer.
The reason: center or edge termination, whether in models from Neumann (K67 vs. K89) or AKG (all edge terminated) is never the only variable, so the considerable differences in sound between large capsules can never be successfully isolated to one design feature.
If, for example, you were to center terminate a CK12 capsule, assuming you'd get closer to a K67 sound that way, you still have to consider at least half a dozen design differences between the two models- anything from the backplate configuration and thickness to the presence or absence of a resonator, etc.-
In sum, there are no clear-cut advantages or fundamental sound characteristics when center or rim terminating a diaphragm, despite the theoretical change in capsule resonance.