Yes, temperature isn't really the issue for a healthy person. 4:20-6:00 is the time frame of the video I posted above where you can see the section about how snow clearing is handled in Oulu, Finland. (7:38 has about 20 seconds addressing that the cost is still a fraction of what having wider roads costs.) Most there don't even use studded tires.

Beyond that, cars, buses, and rail lines won't suddenly disappear from people gaining the freedom to comfortably ride their bikes. People with health issues (which is what I assume you mean by "help issues") and people who don't like cycling both have the option of driving or public transit and are therefore irrelevant to this conversation (though they would benefit along with everyone else from reduced traffic/road maintenance from slightly narrower streets and less drivers on the road).

Incidentally I straight up hate jogging myself, but you won't find me telling those who do enjoy it that they should go without properly cleared sidewalks (same equipment needed to clear paths for bikes, incidentally) just because I'm in the majority of people who either can't or don't want to jog. I've also complained about big box storefronts that force those using wheelchairs and mobility devices to risk their lives on the road and/or mount/dismount full curbs if they have the gall to approach from the sidewalk instead of the parking lot.