I could see this for ice but I'm thinking more snow and slush, which where can be near bumper-height on cars (not to mention the double-digit degrees below freezing for temperatures).
It's one of those things where it's probably a good idea for bigger cities with nicer weather (or better maintenance of dedicated bike lanes), but in smaller centres a better investment in public transit would make more sense
I prefer against sharing my specific location but western Canada in an area where there can literally be a 60-70°c+ difference between peak winter and summer conditions.