The sticker you have under the hood of your '98 sounds like the sticker I have in my glove box on my '01. My '95 1/2 ton had the sticker under the hood. Maybe Dodge moved where they put that sticker over the years.
With the limited slip, when one wheel spins a couple revolutions faster than the other it locks in plates that are basically just clutches. They aren't the best, but they do help. Over the years and continued use they tend to wear out and become less affective.
In contrast, a locker has gears instead of the clutches so they lock good and hard and don't gradually lose there affectivness over the years like a limited slip does. The down fall to a locker is when going around corners they tend to lock/unlock/click/make the tires chirp and are all around too unrefined and mechanical feeling for a "over-the-road" type vehicle. Because of this, they're not recommeded for front axle's do to their sudden locking action and are typically installed on vehicles that spend a great deal of time offroad. They're probably found on approximately 90% of the hard-core offroad guys rigs... atleast in the rear end.
This all brings us to air lockers. Air lockers are the best of both worlds. You have an open differential for around town and the less challenging trails and with a touch of a button you have a solid axle. Probably the only down fall to the air lockers is cost... beause of this, it seems like those that have them typically have them in the front end with a good 'ol Detroit Locker in the rear.
Driving on icy roads... . For me, I would rather have an open diff for icy roads. A limited slip is fine, but I would rather set myself on fire than drive around on an icy interstate with lockers (it's less stressful setting my self on fire).

A locker is usually abrupt when it locks in and ubruptness is the last thing you want driving on ice. It would probably be enough to make you spin out or drive yourself right off the road. Limited slips are OK for driving on ice because they only allow the axle to lock up "limited"ly and not solid like a locker.