I realize that 4WD does nothing for stopping, the problem is moving without getting stuck!
This is wrong on most trucks and just about most full time AWD cars, but it persists as a cute pithy saying. What is the term for "Sounds true but is in fact wrong?" Truthy?
Go try it. You will stop faster in 4WD. You simply lose stability when you lock the tires, if you don't have antilock.
Any modern vehicle will bias braking force to the front, as this is what's effective when you have normal weight transfer - the front tires load up and can take more braking force, the rear unloads and needs less brake force. Plus, typically, you find larger discs in front, and either drums or smaller discs in the rear. The braking power is far from distributed 50/50 between front and rear.
On snow, this system has the advantage of keeping the rear wheels turning for stability, but as you don't get much weight transfer under slower snow deceleration rates, the rear is substantially underbraked compared to traction.
With a typical truck-type 4WD system in which the front and rear are locked together with no center differential, this allows braking force to slow all four tires equally, and you get rather substantially better braking as long as you avoid the condition in which you lock all four tires (I assume modern antilock systems work with this case, I don't have anything with modern antilocks and 4WD to try it on).
Seriously, find a parking lot and try it. You'll be surprised at the difference.
But, hey, it sounds good, right?