Your question is vague.
Simple answer, my 1500 is great in the winter.
Now if I swap my diffs to 3/4t and purchase the exact same tires that match the height and width to what's on my 1500, all else being equal, I would see no difference in winter driving.
Sure you get bigger brakes. Will that help or hinder on ice? Nope.
Sure the diffs add weight. So do sand bags or a fat woman.
Performance? What's changed? Nothing.
So, two identical trucks with everything equal except diff size will be the same.
My 1500 with snow tires & no added weight to the truck was good in snow covered roads and ice, cornering was good too.....but of course you are driving to the conditions.
If I went through a snow drift with a little much speed the front would start to drift, but usually an easy correction.
With all season tires, the truck was crap....needed the truck in 4x4 a lot more to get anywhere and more sliding for sure while braking.
I live in Alaska, and the only difference I have noticed is that my 2500 slides further while trying to stop on the ice lol.
I am expecting that I will need some extra room for braking with the added weight behind the truck.
As a passenger in other friends 3/4 & 1 ton trucks, before I bought mine, with out snow tires it seemed to me the trucks stuck to the roads better with less spin or sliding.....figured the added weight of the trucks helped in that category, but never really had a discussion about it.
I am going to run the stock tires this year, but expect that I will be into a new set before next winter, which I am leaning towards Duratrac or TKO2 tires when the time comes.
Hoping my 3/4 with stock tires is not as bad as my 1500 was with all season tires...
Thanks for the feedbacks!