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Limited slip lube WILL NOT affect gear whine. Some ratios are slightly noisy. Many times the pinion shim is reused and the pattern is "good enough". A lot of time can be spent disassembling and reassembling the parts to get it right. I do axles at a GM dealer, GM recomends (even under warantee) if the gear set has been run over 100 miles with the wrong set-up to replace it. I have seldom had to do that. I have had some noisy 83/4 with good patterns. Most of the time around 45 mph with no load.
Doug





Gear noise is annoying, but depending on your exhaust and how bad it is, you may not hear it. I have seen gearsets with an excellent pattern and somewhat noisy.