Reply to "LSD in my ZF box"

LSD is a standard feature of the ZF in your car.
They are wierd in that if you jack the car up and attempt to turn the rear wheels, often it will uncouple itself from the opposite wheel and only one might turn.

In that regards it seems to acts like a "Detroit-locker" but it it a clucthing devise, unlike the Detroit-locker. It only works with the tires on the ground.

The gearbox is similar. If you try to run through the gears jacked up, it usually will like to grind the gears. It doesn't like that.

I think that the synchros and other internal devices need the resistance on the output side of the box to work properly. Without resistance it just won't work right. I suppose you need to ask ZF why. I can't explain it.