Let me clarify a few things as it applies to the CCM.
The back of a CCMU(hardwired) series cap is the same as the KC5 Cable, therefore it will work on the bars. So in this case the CCMU series will work.
The CCML series is a completely different design with the detachable LEMO connector. The kwonbars were not designed for these models and use with them may cause damage to the product.
As jimmyrow mentioned, I have been telling people that the CCML will not work.
It sounds like you have the CCM4V Lg.
So in summation: CCMU = Yes. CCML = No.
Footnote: If it does fit, it is purely by luck.
Sidebar: Although a CCM-V (regardless of Ug or Lg) cap is 12mm longer than a regular front addressed schoeps capsule, the actual point of capture on the capsule is at exactly the same location equidistant to each other (aka coincident). In plain english/geometry, if you mount a CCM4V capsule in a DIN kwonbar you are getting a true 20/90, as you would mounting a KC5/MK4 on the same bar. If you place one on top of each other this will make perfect sense. *BUT* you're still running the capsule on its side
