Check the CPS connector, scratch up the 2 contacts with something and see if that fixes it.
Use some dialectric grease to prevent further corrosion.

You should be able to meter the sensor, should be real close to 0 ohms as it is nothing but wire wrapped around a magnet.

My first exposure to these was back in the early 70's when they were on a high speed card punch I used to maintain. They were called "reluctance head pickups" back then.

I used one of those on my modified Yamaha flat track bike in a total loss ignition system to trigger a power transistor. It was mounted next to a circular plate on the crankshaft that I had cut one 1/4" notch in. Worked flawlessly.

The CAMSHAFT sensor on the other hand is a "Hall Effect" sensor. In layman's terms, it is a transistor that is excited by a magnet in the camshaft as it passes by causing it to conduct.
These were also used in older computer keyboards made by Cherry. ( no key bounce due to dirty contacts. )
This was back in the day before throw-away keyboards.