Max, what I am reading here and on George's site does not jive with what you are saying, so I'm trying to figure this out.
So the problem of the loco with the light on but the loco suddenly cutting out is gone, and before the resistor was fitted... that is there from the OP
The resistor on the output of the TE is to basically "zero out" the small voltage (actually leaky current) from the FETs in the TE, which is also not part of the original problem from the OP.
I do indeed understand Mr. Schreyer's site and this particular "fix" which was to bring the "idle" voltage to zero when the throttle was zero. (p.s. I have been face to face with him several times and he has visited my railroad)
The resistor fix can have nothing to do with the abrupt cutting off of the motor, as the headlight would go off also if the power quit, and in addition the "TE problem" is not having power cut out, but quite the opposite, never actually going to zero when desired.
So, after re-reading everything, I surmise there was a bad connection somewhere, perhaps the fuse holder, which could not pass current at some point, which is typical of a oxidized connection or a connection with a very small contact point that can limit current. It appears that has been fixed.
Basically voltage can be measured with very little current flowing, but when significant current flows, this situation can change, (again that is the resistor idea, the FET's leak a bit, and the resistor "bleeds off" the small current, thus bringing the output voltage to almost zero).
Best,
Greg