Test light should not indicate power and ground at coil terminals when key is turned to on , like a fuel pump prime circuit on a GM.
The ASD is resposible for powering up the fuel pump, igntion coil etc.
IT only powers when the PCM turns it on, and that only happens while cranking or running the engine as it is turned on by the PCM when it sees a cam sensor pulse. The coil ground pulse that fires the coil only triggers with a crank sensor pulse throught PCM . It should never complete the ground path just by turning the system power on.It should remain in a non conductive state until the PCM recieves a pulse from the crank sensor to drive the ground pulse trigger in the PCM
Sounds like another bad PCM.
Also coil drivers in PCMs can sometimes pass enough current to light a test light but wont pass enough current to really drive an ignition coil.
Chrysler PCM s a re pretty junky. I have had them fail right out of the box.
Hard to find a good rebuilt one . Cardone sux.
Fact is stranger than Fiction