I"m sure it's just the oil sending unit that got jacked up like you said.
I've seen oil sending units where there is oil going through it and it leaks into the connector. Or, the oil pressure light comes on while at a light and when you acceleration it goes away due to pressure being built up upon acceleration.
I highly doubts its your oil pump as well due to your mileage.
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Ford Diesel and Heavy Line Technician at your service.
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