No problems.
As far as Mobil 1 with the LS additive?
Well, I ran it exclusively in my old, non LS, Toyota 4 Runner. Which saw off roading, Vermont winters, and is still on the road with 300,000 miles, and its original front and rear differentials, with their original seals.
So, I'm going to say that particular product works just fine in a non LS differential.