Tell that to the cyclists in Oulu, Finland. https://oulu.com/en/living/mobility/cycling/

The thing is: after a snow fall, they prioritize the bike roads/lanes before taking care of the roads used by cars.

When I was living in Switzerland, I kept a set of spare wheels with studded tires for those days with risk of ice. Riding on packed snow is perfectly fine on regular tires and ice is not dangerous when you have studded tires.