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Just bear in mind that new parts doesn’t necessarily mean good parts. Did you use an oem sensor or aftermarket? Some of the aftermarket parts don’t behave the way you’d expect.2003, rwd, no lockers, and I am replacing the brakes this week. I recently replaced the wheel speed sensor. the differential fluid is clean as well.
In 2003... these trucks are equipped with 4 wheel ABS.
I still think it sounds like a faulty wheel speed sensor. Likely one of the front wheels. Best route is to get a scan tool and look at live data to confirm.