Thanks mate.
You should have constant 12VDC @ pin 56 (Red-Black wire) and also IGN1 12VDC @ pin 11 (Blue-Black wire).........not that it really matters anymore!
You should be sweet to simply unplug and run without it.
The only connection common between it and the engine control unit is the TPS, which is connected in parallel. Having said that, if the transmission control unit was sinking current (which it looks like it has across a resistor and through the electrolyte or something, going by your pics - check the variable resistance between pin 1 and 2, will tell you if your TPS is shot), it will have been drawing max current @ 5V through pin 13 on your engine control unit. This should be ok because it looks like there are current limiting resistors built in to the ECU.
Hmmm, I'm not sure why it blew the IGN fuse though??
Also, does anyone know what the auto compressor control unit is?
It will be affected by removing the transmission control module.