And the most difficult, practically impossible weather to cycle in, is winter rain. 0-5 degrees celcius and rain, good luck riding your bike. You literally can't dress for it, it's better to even walk because then you can use an umbrella. You have to cover your whole body in specialised clothing that's both warm insulating, and fully waterproof. Your feet, your hands, and even then, your head, your face...
I've driven bikes on -5 while snowing no problem. I've also not driven a bike when the temperature increased to positives because the bike lanes weren't cleared of the snow that fell on previous days.
Then again, raincoats are far more convenient to me than an umbrella, I prefer them when walking as well. That may make me an exception instead of a rule. As for my hands and face, can't say I care if they get wet, but my opinion on that would probably change if I was wearing makeup.
It doesn't matter if you and "plenty of people" don't mind, the important part is that the majority of people do mind, and will not cycle in cold winter rain.
I bike with my kids in -12C. You dress like they're going sledding or skiing. It's fine. If you live in a cold climate, you just have that stuff anyway.
Why, it's much better for the kids to just take the bus, it's more practical and easier, and they don't have the risk of sitting cold and wet in school, what's the point of stubbornly cycling in shitty weather
I also had to cycle my whole childhood to school, and I don't see the point at all, it just felt like some kind of unnecessary punishment and some creepy amish like way of being against technology