OK. I have a hypothesis of what is going on. It has the benefit of fitting all my observations;
The charging system in this GG1 is weak. For whatever reason it can not drive its full design current, even though it can produce its full voltage. It could have been this way for a very long time (years!). The reason I never noticed it in the past was I had a battery in it, and a battery retains its charge for a long period of time, and thus can be trickle charged over a long time. A BCR, on the other hand, does not keep its charge very long, and thus must be charged up very quickly. Thus, as soon as I switched to a BCR, the weakness reared its ugly head, as the weak charging circuit could not charge up the BCR requisite minute or so before start up.
Remember I reported this having erratic behavior yesterday. It was just a matter of how long I let the loco charge up the BCR. About 1.5 hours was adequate
Here is the new data that supports this hypothesis; (NOTE, TO PREVENT CONFUSION, THIS IS THE FIRST TIME I USED A STAND ALONE CHARGER, OR A BATTERY RATHER THAN A BCR)
Test: I put the BCR on the stand alone battery charger. No locomotive involved, just the charger to the BCR. After five minutes, I disconnected the BCR. It read 4.30 V. After three hours, it read 2.4 Volts. Recall that after being in the engine, the highest it got, even after 1.5 hours of charging, was only 1.54 Volts.
Conclusion: The BCR is OK
Test: I found an old 3 Volt battery. I know its not new, its at least seven years old, but its all I got. It read 2.0 Volts. I put it in the engine, and while the engine behaved normally through several power off on cycles, the remote indicated the battery was "LOW"
Conclusion: Nothing wrong with the ability to write to memory or processor memory transfers. GOOD
Test: I charged the old battery overnight, plugging it directly into the stand alone charger. Again, no locomotive in the circuit. After 8 hours it read 2.4 Volts. I put it in the GG1, and the GG1 performed as normal for at least a dozen power off-on cycles over two hours. The remote always read the battery condition as OK
Conclusion: A fully charged battery will keep its charge. No significant parasitic loads
Test (from yesterday) Locomotive charging circuit produces 5.15 Volts with no load, only 1.54 Volts with a BCR load
Conclusion: Locomotive charging circuit is weak. Something is preventing it from driving full current into the BCR, and probably the battery
OVERALL CONCLUSION: A battery can function normally with a weak charging circuit. A BCR cannot. Thus my hypothesis which begins this post
Let the criticism begin