Hi Don,

I agree with B.B. that you just might have the problem in your hand. You have said you can wiggle it and things change.

As far as I know any oil film doesn’t affect the sensor’s function. It’s not a nice thing to have oil leakage.
The rear main seal is probably the largest seal on the whole car.
The oil gets sloshed about as much backwards as forwards. So there’s a reason in here somewhere?
Crankcase pressure and flutter doesn’t help matters either.

The CPS works by not sensing a series of holes in the flywheel until one solid area (no hole) come by under the sensors gap. This causes a magnetic flux and like wise a change in conductance or really a signal amplification that the ICU needs to see to trigger ON or OFF other electronic components.
One is located behind the battery and a larger flat connector.
This item breaks the power to the ignition coil and causes the spark plugs to fire.

An intermittent no start or miss fire can be, or is, a three step or component operation.

The connection on the ignition coil relay can do the exact same thing and can go in/out intermittently.

It’s very hard to tell which is more at fault.
But if the system relay under the glove box is clicking on to run the pumps and the injector circuit.
THERE is orange wire in the AMM that helps troubleshoot that part.

If it doesn’t have spark jumping a gap from the coil wire to a strut stud in front of the coil then clean the connector on what I call an Igniter/ignition coil relay. It does what the ignition points and a condenser use to do.

Sometimes it has been recorded in Brickboard posts that just unplugging it and putting it back on scrubs the terminals a wee bit.
Inspect for a loose or deep pin and green stuff on all of these connectors.
A small amount of dielectric salve helps to keep the “bugs” from returning.

Also if the heat sink transfer paste on it underside isn’t change every ten years or so, it can lead to heat related malfunctions in the summer.

Isn’t it nice that “Behind a battery” is about the best place to hide something in plain sight.
Having a bad connector, in a hand, is like catching a green gremlin by his short fuzzy hairs.
😵‍💫

Phil