Nope. Your Ignition Switch should shut off the injectors and the coil.
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I would be curious as to what occurs if you go to shut the vehicle off, it stays
running, and then you pulled the fuse that's circled below:
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My understanding is that once this fuse is pulled then the ECM will shut down.
Meanwhile, the fuse at the top (INJ A) provides power to the 2 shower nozzles,
so +12v sits on them, but no current flow (no work) occurs until the ECM
grounds these circuits. (A handful of milliseconds at idle, near continuous
at full throttle.)
In other words, the diagram above can visually mislead a little, making it look like
the ECM has 2 sources of operational power. But the reality is that the ignition
switch (via the 10A ECM/IGN fuse) is how the human communicates to the ECM
whether to run or not.
Check this page out from the '89 FSM. Look for the text next to the arrow:
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Of course anything is possible, but I'd want to prove that the power is appearing and disappearing at this fuse
as you would expect when operating the ignition switch. IF the ECM stops running when you pull the fuse,
then it is operating as expected...and now it's time to verify proper ignition switch operation.
But if you pull this fuse and your GMT400 continues to run? Hmmm -- either I don't understand this
circuit properly, or you do have an ECM issue where you need to talk to your tuner?
Just saw the above in the '89 Fuel, Emissions, & Driveability manual and wanted to throw it out
there for a proper kicking around. :0)
Consider giving this a try and see what you get.
Happy Hunting --