We can agree to disagree. Weight adds friction. Sure, ice doesn't have the same friction as snow or rain regardless. But the fact is weight still adds friction.
This truck is going to be like a tank in winter weather this year. I'm excited for it.
Hopefully your high-school Physics teacher made your class chant, "Friction is FUN! Friction is FUN!", like ours did. Of course the equation is F = μ·N, where N = Normal force = "weight".
But there are two things confounding your theory here:
1. A certain amount of energy must be put into the pavement to shed speed and stop a vehicle. Of course that energy is E = (m·v^2)/2, so linearly varying with mass. That energy is shed by Force (FUN) times displacement (distance), according to W = F·d, where W = Work = Energy, F = friction force from above, and d is distance traveled until stopped.
2. The classic friction equation is for non-elastic or non-conforming objects. A soft tire on a rough surface (road ice or pavement) is as much plowing over small interferences, as following classic friction.
The resulting answer? I don't know, due entirely to statement 2.

But I do suspect Dark Black might be right, for the case of hard ice.