I don’t have kids, but this looks like an awesome way to raise them.
Studded tires are magical for bikes. I feel safer biking than walking when it’s getting slippery outside. Urban Arrow and other bakfiets style bikes have canopies to keep bad weather out. I didn’t have a bucket bike but even then, my kids’ only complaint about the weather is that we skipped the playground on the way home.
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