The limited slip in the ZF is a strange creature. You can not test it by having the car off of the ground and turning one of the axles.
In that situation it will act like and open rear and will not turn the opposite axle. In this sense it operates like a Detroit Locker, changing all power to one side or the other, depending on which has traction, BUT IT ISN'T.
It has friction clutches in it!
You need to put both rear wheels on the ground, with both having traction THEN it locks the axles.
Like I said, it's a strange bird for sure. By the same token, it never seems to cause any issue for anyone. It just goes about it's business day after day.
I don't know of ANY other differential that works this way (other then the ZF that is).
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