Warren this was thrashed out only last week. General consensus seemed to be as long as it was the right grade of oil, then the LSD additives shouldn't matter.
There were a few lone voices mine being one of them. I don't know for sure. It's your diff you do what you like. But I wouldn't put it in mine. I'd buy aftermarket air filters, pads and even alternator belts, but no I wouldn't put the 'wrong' oil in my diff. There is no logical reason that it shouldn't be just fine.