Non Mopar oil pressure oddity

Has it ever had the camshaft synchronizer replaced? This is a very problematic issue for both the 3.0 and 4.0 engines. They are at the rear of the engine where the distributor "would be". The cam sensor is mounted in the top and the bottom is driven off the camshaft gear and it also drives the oil pump. They barely get any splash lube and often burn the bushings up. When they do, you are lucky if you hear it. It emits a very high pitch sound like a bird chirp or a belt squeak. Eventually if not replaced, they will seize and break and a catastrophic engine failure will result.

I doubt that has anything to do with your problem, but it's good information to be armed with if you did not know about it.

Sounds like maybe some sludge around the oil pickup or an electrical issue with the sending unit.