I agree with Peter. If you'd lost drive to one wheel, the car wouldn't move at all as the diff would rotate.
How did you test it? If you jacked the car up and let it tickover in gear, something like a binding brake on the nearside could be enough to stop the wheel rotating - the lack of load/resistance on the other wheel would just ensure the drive got diverted there instead. Does the wheel rotate freely with the car out of gear? Some minor brake drag / noise is normal, but the wheel should rotate a couple of times with a good spin.
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