I share your concern Tom.
To clarify, is it one rear jack or both?
If it is only one;
Many microphones have been used in aviation; carbon (still used some in Europe and widely used in sailplanes), dynamic, even throat microphones (WWII era) but almost all modern aviation applications in the US are amplified electret and will operate interchangeably. Even (most) handheld radios supply the required bias voltage to allow modern headset mic's to work. Being that your headsets all work fine with the exception of this one jack, to me, isolates the problem. I highly doubt it's a difference in the mic's.
Two possibilities;
1- Previously said. There is improper voltage supplied to this circuit, disallowing the mic to work properly. (I really suspect that this is your problem)
2- The DC headset is somehow making better contact within that particular jack. You could try swapping out the jack to ensure that the circuit is sound. If the problem persists, see #1!
A good friend recently had horrible noise coming from his headset. After draining his wallet troubleshooting the intercom , radios, antennas, etc... he realized that it was the ANR headset he'd been using all along. He bought high powered lithium polymer powered batteries and the discharge frequency of the batteries interfered with his radio. He replaced them with the old NiCad batteries and the sound disappeared.
I say that only to say that it might be something very simple. Please don't take my word for it!
-Phil