possibly, I think the center diff distributes the power to the easiest end, if the front is spinning away freely, then the center diff work for the front only. The thinner the diff oil, the less chance your car will have of moving. Locking the center diff would make your car run in this case. Im not completely sure about it, but I think thats how diffs work. They distribute the engines power to the wheels that need it the most, and different diff oil thicknesses changes how much they do this