it seems (at least in my mind) that the limited slip and traction control would work against each other if both were active. The limited slip needs one wheel to skip to activate the other wheel while the traction control is trying to stop that wheel that needs to slip so tbd the other will grip. With a locker the traction control won't sense a slip cause both wheels should be turning the same speed. In this case it would seem that it should work right, maybe.