Not unless something's seriously wrong. The ring and pinion are meshed together. Friction modifiers (additives) are for limited slip differentials which you are unlikely to have from the factory. Do some studying on how limited slip (positraction) works and it'll make more sense. Automatic transmissions, however, can absolutely slip. If you pull the rear cover from the rearend to drain the fluid you can do a visual inspection. You'll know pretty quick if you need to worry about the rearend anymore or not.