Keith,
With my battery switches on, ignition off, slide in the normal retract condition, I can sense no heat by touch and the voltage across the positive and ground terminal is 0V. My closeout stays retracted. Not sure why we see a difference here. I think the next step for you is to trace the plus wire to see where it goes. Also photo the hose works and electrical/pneumatic components in the top feed hose leading to the solenoid valve. We can see if they are the same. It may be that a relay is supposed to drop power and that the air feed hose has a solenoid valve shut off, not sure....
Later Ed