Well, I thought it was in the owner's or service manual that the alternator didn't operate during grid heater operations, but I can't find it in either one.
However, I still believe it is true. The service manual states that the grid heaters are each supplied by a cable that will deliver approximately 95 amps. It doesn't take rocket science to figure out what could happen to a 136 amp alternater when a 190 amp load is applied. If the batteries are good, probably nothing. If one or both are extremely weak, the alternator could easily go up in smoke.
As for the voltmeter reading, here is what the '04 service manual says on page 8J-43 under "System Voltage Low (Charge Fail) Message"
"On vehicles equipped with the optional diesel engine, the ECM is programmed to restrict the voltage gauge needle to a position above the graduation on the far left end of the gauge scale and suppress the check engine indicator operation until after the engine intake manifold air heater has completed a pre-heat or post-heat cycle. "
Disconnecting the alternator would be a different matter, because the ECM would know it's not there.
Bob