Thanks for the update, most interesting. Always good to know the solution.
I had a failure with my own crank position sensor after long term storage on my 3.6L and it took me ages to find source of problem. At that time I hadn’t realised it even had a sensor..
Costly item on the 3.6 too.
I was never quite sure whether it was the sensor or just the plug to wiring connector corroded but replacement cured the ignition problem.