I don't know alot about rear axles, but I can tell you from experience, that limited slip rear ends rock in the snow. I've had two cars with LSD, and my old Bronco 2 had a limited slip rear. That little truck was awesome in the snow, off-road, and off-road in the snow.
Now the motor was one of those old 2.8 V6, so not allot of power there, but she was great for traction. I ran it with 235/75/R15's. I never got her stuck, and I even pulled out a Toyota 1/4 ton pickup (ya know, those '80's black, lifted ones) outta a snow bank during a brutal snow storm in Halifax in '91. We had gotten over 2 feet (yup 24 inches or more) on one weekend, (actually, over the course of a week, we had gotten 115 cms of snow - 30 cms is a foot - So that's almost 4 feet of snow - I remember because I recorded it in my hiking logbook. )
He had all season tires on it, and he got it jammed into almost a 3' bank on the shoulder of the road. I chained up, and yanked him out no problem. No studs, just winter tires. I had traction, cornering, and handling in that sucker.
Now, I can't tell you what they are like for launching at high speed or drifting, but for normal driving, they are really great in the snow.
I want one for my eagle...