Lsd should be ok with it as thats what it does when turning a corner anyway the outside wheel spins faster than the inside?
I think this would be different, similar to why MOT testers shouldn't use a rolling road to test the brakes of cars with LSDs I suppose?
MOT don't test LSD Manly for the fact it can give fake readings, If the left brake is Pants and the Diff locks when the right brake engages it will give a false reading on the Left hand side saying it broke, effectively, I mean it is after all what differential is supposed to do allow each wheel to spin at different speeds, If its from a case of a diff locking to a stand still we would see Differentials Blowing up at ever handbrake entry in all of the Drifting events wordwide, Same with 4wd The wheels dont always turn the same speed all of the time.