I feel I have the relevant experience to comment on this one as I grew up in London and 4 years ago moved to rural Sweden. The last few days have been particularly cold, yesterday morning was -27 but yes the schools were still open and kids (11) left at 7.05 to catch the bus school. We have had loads more snow this week and we have had to hire a slow plough to come and dig us (house and driveway to park) out twice in 8 days which is a bit unusual.
The thing snow is expected. It started snowing in November and there may be a thaw where it will go icy but I prorbaly won't see Swedish grass and soil until after Easter. Everyone is geared up for snow here. Tyres (to studded winter tyres) have to be changed over legally by the end of October snow or not. Last year it began snowing on Saturday night around 9 pm and snow ploughs were out all night. People are on stand by to be called out.
Children have wear proper snow clothes. Have proper winter/water proof footwear. There was a student on here yesterday saying she had no boots and only canvas shoes.
It used to make my DH laugh about the chaos a centimetre of snow would cause in London but I thought and still do think he was being unfair. I wouldn't buy full (expensive and bulky) snow wear for two kids if I thought it may snow for three days a year. Storing winter tyres is a pain but not something that is needed in the UK. Gritting roads and snow ploughs are expensive to buy, operate and house for over stretched councils.
As nice as it is to see photographs of UK kids with make shift sledges, the snow does make people nervous if you are not used to it. I have several pairs of spikes for shoes but had never seen them in London. Everyone over here is used to driving in the snow but last year my DH went off the road whilst driving the kids to school - no one was hurt but he had to be towed back up onto the road. It does happen.
The two places are not comparable. And if does happen here three weeks ago there was an official storm warning and the school closed for the day and the time or happened before trees were blown onto the roads.