[Rwillia4]

This might sound stupid. Is there any chance that you are charging the return fuel line and the regulator is a one-way valve stopping all the flow from reaching the injectors?
My TWM requires 55psi for operation
And yes your starter draw can drop your voltage below the minimum voltage to power the electronics turning them off. I have quickly hit the starter button and then hit it again letting the engine intertia turn the motor as the electronics come back up.

Have you tried putting some fuel in the intake to see if you get anything firing.