I'm using an LED for my CEL and it isn't on unless there's a problem. I have noticed though that it will dimly light when the EGR valve is cammanded and that gets to be a nuisance to me.
Unfortunately I have a large pile of assorted resistors, they came in a bag with the various values on the label, but none on the individual strips of resistors.

Alright, so I *think* I measured what you were asking. We will see.
1) LED resistor: 101 ohms
2) (11.86V reference) 5.9V between LED's and resistor, .08V after. .
3) (14.8V reference) 9.8V between and 5V after.
4) .03V when CEL is on, .05V when it's "off". Resistance 13,500 ohms (13.5@20K meter setting, correct?) when CEL is "off".
Regular light bulb?IF there is an easy/cheap fix, I can keep going.

If we use the equivalent output circuit that's on page 3 of the TPIC2404 datasheet (which is probably different for the original Delco part), the output might be needing a reference voltage instead of floating. The incandescent bulb gave that, which would be 14V when the ECM is off. The LED is like an open circuit until turned on. So in an open circuit you said the output of the ECM was at .05V which would turn the LED on. But then it at the moment it does turn on the driver now has a reference voltage (originally supplied by the 194 bulb) of 5V so it turns off. If this theory is true is it possible that the driver is actually oscillating - constantly switching of and off? If the LED is oscillating and it had say a 50% duty cycle then it'd explain why it's dim when it should be off. I don't know if your DVM would show a DC voltage if it was. You might be able to set your DVM to AC voltage and see if you get a measurement at the ECM output when it's dim. Maybe I'm grasping at straws, but it's the only thing I could think of that would explain this behavior.