Have you tried lifting rear wheels off the ground, locking one wheel and trying to turn the other,this will get the differential working and simulate what happens with tight turns at low speeds. It could be that the plates in the diff are very worn and that there is no locking taking place hence the squelling as the clutch plates are worn in the diff itself. The diff does very little work when under normal road conditions as corners are not tight enough to work it. the gears and CWP are not affected hence no problem with the rest of the box.
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