I’d say yes and no, the majority of traction loss in rain is when I'm making turns and the rear slides out. This happened more when i ran smaller tires like 265’s lol which i still do on a wj i have. In that case the vehicle stability takes control and starts applying the brakes the the slipping side. Short answer is yes, limited slip is good for the street and some situations off road. And provides a good compromise between an open diff and a locked spool. On rocks they are unpredictable and the clutch packs wear out. Also it takes a second for them to “lock” up so often times power delivery isnt linear and you have to approach an obstacle with way more throttle than youd want to with locked axles...
That depends on what you are after.
The first few times shifting into 4wd it can be stiff. It will loosen up the more you use it.I hit a similar situation, my rear passenger was completely on ice, rear driver on partial ice (if I back up a bit, it will be fully on ice) whereas both front wheels on dry pave. It started slipping. I turned into 4WD and it backed up with no effort. Yes, I had to struggle a bit to engage 4Hi while no motion.
Yes, until the clutch goes....Limited Slips are great for "normal" off-roading that 98% of us do. Such as going thru mud and snow, or climbing steep hills while out hunting.
Exactly. which is why LSD in a the Jeep actually works so well, because we have the break lockers that should automatically do this for us!. and in my experience, I've never had to tap on the breaks on my JL to get the LSD to engage. Which is why I find strange the OP's situation. I've definitely gotten myself in situations a few times where I can hear the clutches engaging and my Jeep just gets out with no issues. If OP was on flat terrain, with the Goodyear AT tires (I assume), full traction on one tire, I truly can't see how a Wrangler with LSD can't get out!. Maybe OP just experienced a bit of lag with the LSD clutches engaging? or the road was frozen and very slippery, in that case I can definitely see ANY vehicle, even with lockers, struggle.As to the OP's question: You are correct, the other tire should have engaged in the scenario you described. If this ever happens again, just tap on the break while you push on the gas. Sometimes this will get the clutch plates to engage and lock up.