HI,
The problem with schools closing under "snowy" conditions, is not only related to teachers/pupils getting to/from the school. Nor is it only to do with health-and-safety.
It's really to do with modern-day petty bureaucracy and red-tape!
Unfortunately, since the days of the 1960's, 70's and 80's when many of us did used to go to school during extreme winter conditions, the law has got more and more complex, and has resulted in lots of people with a lot of power, dictating what others can or cannot do.
Henceforth, I shall call these people the "jobsworths".
These "jobsworths" dictate that if there is even the remotest chance that someone is liable to be blamed for not doing (or even actually doing) something, then the only viable solution, is to stop everyone from getting near the affected area. Just in case...
It's the whole "blame" culture!
Twenty years ago, kids (and adults) had accidents. You fell of your bike, you had a bit of a scrap with friends, but went a little too far, or whatever. In those days, we all got up afterwards, and then continued on.
Now, kids and adults are constantly told "You must not do this, or else", and we no longer have the right to do many things we used to, because of petty bureacracy! If anyone defies them, they are severely penalised - usually financially, or in extreme cases, job losses!
Sadly, today, it's not possible for average human beings to be allowed to think for ourselves. We have to be told all of the time, what to do, or what not to do. And it's because the powers that be know that if we are allowed to think for ourselves, then we have freedoms: freedom to chose, freedom to say what we think and feel. And, alas, the powers that be, don't want us to have that kind of freedom! They want us to be kept under their thumb!

So they dictate what we can and can't do, and then threaten us in various ways, if we don't conform!
That is the problem!
Pooch