Joel,
It isn't just the CMP current draw here, it is any current draw through the contactor dropping voltage through the relay/solenoid contacts and then the CMP sensing lower voltage somewhere (god knows where) on the output side. If you reset the relay/solenoid contactor and get a different result on the CMP and the issue is that it seems repeatable, that is it alleviates the low voltage result each time, then I think it is worth jumpering to see if the CMP issue is resolved.
I'm not saying for sure that the CMP measurement module is stable, but if all other measurements by the unit seem correct then there is reason to consider that it may be correct in its DC measurement also. Unless you can find the actual DC measurement point that the CMP is using and then verify that point with an independent voltmeter measurement then the you do not know if you are measuring apples and oranges being they are different DC locations, wiring paths/loads....
Later Ed