Ahh, I see, my numbers were from the ECU, yours from the loom.

The resistance of the wires is much the same for all three. (0.2-0.3).
So I think we can rule out a wire problem.

I built the LED checker and connected it up to pin 8. The LED was on when the ignition was off but off when the ignition was switched on (if you see what I mean). No amount of button pressing would get the LED to fire up with the ignition on.
I wonder if my car is different because it was first registered in Singapore?
There is no connection to pin 14 on the 16 pin connector.

I'm in the UK and I've found a breaker who has one for a W124 E320 4 speed so I'll order it tomorrow. The catch is it's £245 (about $500US).

If that doesn't cure it I'm going to cry!