From what I hear most of the problems with auto lockers comes from going around corners. On ice less torque = more traction. If you go around a corner and start to slide the best thing to do is throw it in neutral. Powering around the corner will only make it worse (unless you are in under steer and want to 'fish tail' around the corner but the e-brake works well for this). Putting it in neutral will allow the wheels to roll and stop the wheels from sliding and regain some traction. Then you can steer to safety. With an auto locker when you go around a corner the outside wheel unlocks and becomes a free spinning tire. Because it has no torque you have max traction on that wheel. However, the inside wheel now has all the torque. Remember that on ice more torque equals less traction. So if you power that inside tire too much you lose traction on that tire. If the outside tire does not have enough traction either you will fish tail or spin around. So having the locker in will require you to change your driving habits. Does the locker mean you have less traction than a lsd? yes and no. If you go around the corner and throw the vehicle into neutral then you will have max traction around that corner locker or not. But if you are in gear the lsd has the advantage in that it provides power to both wheels around the corner thus spreading the torque out. Essentially the lsd is a compromise between the open (max traction around icy corner) and auto locker (least traction around icy corner).

even your a beautiful explanation in fact the thing that concerns me, besides the risk of the blocks in the bends giving too much gas, is the fact that the couple would be transferred to the wheel inside the corner .
I am somewhat undecided whether to opt for a D-locker or a DTT , we both have their merits and defects, I do not know which to choose

So, are you saying if you did it again you would get a DTT in the rear? Or are you saying that in snow and ice it would be better to have the DTT, but you would still go with the DL because of better off-road performance.

Im saying I think that the DTT would be better in snow and ice, I love my DL but I wich I would have gotten a DTT but I just got too good of a deal on the DL to pass it up, but I dont take the KJ off-road all that much any more

I have a DTTin the rear and a DL in the front, I love the set up.

Okay, all this talk has made me reconsider my plans to get a DL in the rear. I guess I could get an arb but there's a lot of hassle with the arb. There's more cost and more work to do. You also have to find someone capable of installing it. Lately, I've been thinking of getting a side-by-side ATV. If I do that a DTT would be all I need anyway. A locker is always nice to have but its not always needed. It depends on where you wheel and how much of it you do. Because my vehicle is not my dd I feel I could put a locker in it and still drive it on occasion in the winter. Although, it's already a handful to drive in the winter with MT tires.