Schoeps microphone amplifiers (bodies) don't come in matched pairs; Schoeps only matches capsules, not microphones or bodies. As long as two CMC amplifiers are of the same type, in good working order and both set up the same way (e.g. both +5 dB, or else both not), they should match within a fraction of a dB.
CMC 4-- amplifiers were designed for parallel powering, not phantom powering. The two systems are incompatible, and hardly anyone buys this type of equipment new any more. 30-35 years ago, though, parallel powering used to be widespread among film and video sound recordists; it was available from Nagra portable tape recorders, and Sennheiser shotgun microphones (actually, all Sennheiser condenser microphones for a long time) used that powering method. But by around 1970 Nagra and, some years later, Sennheiser gave in to the reality that the pro audio market had decisively chosen phantom powering.
Unfortunately there is no legitimate way to convert a CMC 4 amplifier to, say, a CMC 3 or CMC 5 for phantom powering. You either need to use an actual power supply designed for parallel powering (the standard voltage is in the range of 10 -12 Volts DC) or one of those adapters, if it's a good one. If it throws 48 Volts at the microphone, though, something is wrong; don't use it.
Also, the stock CMC 4-- amplifier follows DIN standard powering polarity while Nagra and Sennheiser chose the opposite polarity; for compatibility with Nagra recorders, Schoeps made a special version of the CMC 4-- amplifier called the CMC 4k (or CMC 4Uk with an XLR connector). If there is an adapter cable that's needed between the mike and the power supply, and if it has XLRs on both ends, you may find that it is inverting polarity for that reason. Or not; you'll have to check somewhat carefully.
--best regards