Typically an insurance doesn’t save you money. If it did the insurer would go bankrupt.
Unless you know you will claim much more than a typical insuree, because you break a lot of stuff.
Dutchman here. I love riding in fresh snow. Very serene, empty roads, and plenty of grip. It takes effort, and I’ll be wearing lots of layers, so I’m very warm.
Fuck old snow or black ice though. Like you say, snow is rare so I don’t have studded tires or chains and stuff. Usually the cycle tracks are well salted and plowed though. There’s even an app mhat can de bicycle route planning over plowed roads only.