truth of the matter is, with an open diff you are truly in 4x4.
even with one wheel spinning. the problem is that with a differential your axle is designed to let you go around corners without chirping a tire. In other words allow one wheel to spin faster, the problem is, when in a uneven shear surface (shear being the ability of the surface to break free) the diff feels like it is doing it's job.
let me explain a bit. in a perfect world a 2 wheel drive always has 2 wheels getting 50 % of the horse power, but we have torque. now what happens in a open diffed vehicle is on tire is on a rock and it takes 50 pounds of torque to turn that wheel, the other is on snow and can turn at 25, so the diff seeing that it develops 25 pounds of torque at the spinning wheel only gives 25 pounds to the other wheel and the spyder gears spin with the spinning wheels at 50 pounds of torque. 25 it takes to spin the one side and 25 to the spyder gears. Now let the torque build up under the spinning wheel and the snow disappear till it takes 50 pounds of torque for the spinning wheel to hook up and get traction and both wheels turn and you are free.
But that will not happen
SOOOOOOOOOOOOOOOOOOO
we buy a
Limited slip or a locker,
A locker locks the diff and 50 to 50 split is all the time so if the stuck side gets 50 pounds and can turn, the other side gets that, how ever they are locked and need to spin at the same speed always (auto lockers not discussed here)
and a
Limited slip through either clutches ( bad, wear out fast) or gears (very good) tighten up on the spinning side till it matches the torque needed from the other side to turn both at the same time.
you truly had 4x4, you just need a locker or a
Limited slip to be able to use it when you want. One thing to consider if you are in snow a lot is a selectable locker as there is an effect called crowning that makes auto lockers or full time lockers scarey in the snow