Following up a long time later--I'd just like to note that all the circuitry of a CCM is located in the (miniature) microphone body itself; none of it is in the cable or the XLR output connector.
There are two general types, the CCM-L and the CCM-U. The "U" type has a permanently attached XLR-3 output cable while the "L" type has a Lemo connector on the microphone, and the cable is basically an adapter from Lemo to XLR. Of those two, the "L" type allows the use of a number of special accessories and for people who do remote recording with portable gear, I would think that it would be almost universally preferred.
--best regards