maby said:
The problem with this approach is that the cross-axle loss of traction in serious off-road conditions is a rather transient thing. You lose traction on one wheel, the electronics recognises it and locks the brakes on it - the car moves forwards and both wheels gain traction, but the previously spinning wheel now has the brakes engaged - how does the car recognise that it has gained traction again? The locked wheel is now in contact with the ground and not turning - it's fighting the wheel that is driving the car (which probably does not have very good traction itself) - and there is no easy way to detect that it is now time to release the brake...
How do Anti Lock Brakes solve it? When the car releases the brake on a wheel without grip, how does it know it is time to apply the brake again? Somehow it does not decide that all four wheels have lost traction and release all four brakes at the same time. If it can handle such a critical situation, somehow I don't see why it could not at least try to get itself out of a stuck, but far less dangerous situation.
Just apply the brakes on the spinning wheels briefly, until the other wheels start turning. And then release again .... If the other wheels start spinning slower, lock again. And so on. Of course it won't beat a lock diff, but still. ....