Put on a coat/rain jacket
The opportunity is to convince more people that cycling is a legitimate option for a large group of people. Infrastructure investment instills confidence and further education for both cyclists and drivers help to manage that risk.
Whilst cycling in the snow might not be your cup of tea, there's a cohort of people who could consider it as a net positive to get from A to B, exercise and put less wear into the road. And we need to support those people.
You can also use studs tires if you worry.
I ride my bike in Sweden frequently even with a lot of snow without trouble. The only thing to worry about is when spring comes and the snow melts by day and freezes at night but on the main bicycle lanes the problem is solved by salting them once the weather gets mild.
I use a regular gravel bike (so not huge tires, 38mm) without stubs tires. Never fell.
I just don't ride during snowstorms directly of course but in those cases even buses and trains can be canceled until it calms down a bit.
I bought myself a Xiaomi scooter and wear a good jacket while listen to music through my Sony overears riding to work. I'll have to wait with the soft drink and junk food til I arrive though. I also wear a backpack to carry whatever.
Removing some lanes makes the city much more enjoyable for everyone but ofc this is harder to do in really old cities which were designed for horses or big metropolitan areas wherr extra land is scarce.
We moved to Tallinn, Estonia last year and compared to Finland the cycle lanes here are poorly designed and many local politicians still support cars over cycles which is a sad.
Employers expect employees to come to work every business day, and people expect business to open every business day, even under heavy rain and thunderstorm.
Watch! Heavy rain/wind! Most people can't go to work! Most businesses are closed! Teachers can't go to schools! Nurses can't go to clinics and hospitals! What a ridiculous picture of a modern city.
New proposal: this city only allows residents who are 20s/30s years old and healthy and fit.
If the existing materials are not good enough, perhaps we can invent more waterproof, windproof, breathable, warmer, cheaper etc. materials
Say that in a whiteout blizzard.
Try again.
You'll notice that regardless of the weather, people bike. Chuck some rain pants and a rain coat on, or carry an umbrella, or get a bike poncho thing, or all of the above. It's not hard.
If it's seriously shitty weather, the public transport is a bit more full than otherwise, but still people are out biking because that's how you get from A to B.