I've got a couple of Volvos that came from the factory with Dana 30 rear ends with eaton auto lockers in them
Those Swedes flat know how to make a vehicle that will track on snow. If you put a set of studded snow tires on the thing it's unstoppable, I don't care how icy, with rain pouring down on it. The only time that locker can feel a bit squirrily is when the snow gets so deep that it is higher than the floorpan and your tires really aren';t getting any where near hitting anything solid, then the tail end can kick out but you just feather the throttle a bit to unlock the wheels and intermittantly and keep it pointed where you want it to go
If you are going to have a locker and drive on snow and ice, don't run highway tires, or yes, you are going to do spinouts. Get either studded snow tires or non studded friction snow tires, but DO NOT attempt to drive a locker on ice and snow with tires marked M+S. Any tire that doesn't have a rib tread can call itself a mud and snow tire, but does not qualify as a true winter tire unless it is bearing the little mountain snowflake stamp on the side. Ironically these tires don't always have as aggressive a tread as the M+S tires, but they usually aside from studs have things like glass fibers or silica or carbide or other nifty grabby things imbeded into the rubber compounds so they grip the ice better
I run
Nokians that are made in Finland on my snow cars. I figure if you want to try to drive on snow and ice, buy tires from folks who live in the stuff the better part of the year ( check out their test track...
a frozen lake in Finnish Lapland that's been expanded to a larger testing ground to include climbing 20% ice covered grades, heck, that's hard enough without the ice. With traction like that you REALLY don't need to worry about a locker giving you trouble on ice
THese would be the ones for our trucks for average use