Not sure if this is a stupid question, but my understanding of an LSD is that it controls the amount of horsepower through each driven wheel so that it is impossible for one wheel to turn faster than the other thus preventing wheel spin?
In an open differential car, when one driven wheel loses traction it will naturally turn faster than the other driven wheel, thus making driving in low traction conditions extremely difficult. In a situation where one wheel is spinning and the other is not turning at all, how does the traction control make any difference?
An open differential has the already inherent mechanical problem of the wheels potentially turning at different speeds that surely cannot be overcome physically by moderating power to the wheels?