But I didn't mention LX20's and neither did the person I was responding to. But you are kinda splitting hairs if you are drawing a major distinction between summer and all season radials. In terms of snow/ice capability there is a huge difference between winter and all season and a much smaller difference between all season and summer tires (both suck).
Yeah, I used to think all season radials worked great in the winter too. Until I had more winter driving experience and realized that all snow and ice is not the same. There are hundreds of different types of each and countless combinations of both. And you never know what you're going to encounter until you're on it. Some ice has 1/10 the friction coefficient as ice you may have encountered in your Jeep. They both look almost the same. Some ice you can easily see as you approach it, other ice looks just like wet pavement until you and your all season radials are doing a new 360 every second or two. If your Jeep did great on ice using LE2's then you didn't encounter the latter type of ice. And I'm not saying there are two distinct types of ice, but rather, an infinite number of types. Just check u-tube for videos of AWD and 4WD vehicles with all season radials who are completely helpless on roads that often are not even that steep. Sometimes just the normal slope of the crown of an otherwise flat road is too steep for all season radials to hold a stationary car from sliding onto the shoulder. This has nothing to do with how good the AWD system (the brakes are on) and everything to do with tire grip. In these conditions steel studs are preferable but fortunately this kind of ice is rare and nobody is going fast and studless winter tires will probably suffice.
I'm hearing mixed messages. On one hand you talk about living in the mountains, on the other hand you say you only get "a few days" of ice and snow. I'll confess, I'm not familiar with the Ozark "mountains" and when I Google photos of "Ozark Mountains", no photos of mountains show up, just foothills (and not very big ones at that). I'm not familiar with the weather there. Only you know whether you drive far enough in winter conditions for snow tires to be worth it. My only point is that if it's imperative that you be able to travel under difficult and slippery winter conditions, you need winter tires before you need AWD. AWD adds very little to winter driving capability compared to winter tires on a two wheel drive vehicle.
I wouldn't recommend them for general use. I certainly would never consider them for covering big miles or fast miles and they will never provide as much traction as winter tires in most conditions. That's what winter tires are for. If you have a dedicated set of winter wheels, a pneumatic wrench and a floor jack you can switch between sets in under half and hour, not much longer than installing four polymer "chains".