They do over here. A few years ago I saw a police checkpoint pulling cars in for not clearing their snow off the roof.
The problem is not when it's snow, the problem is when that snow has started to melt and then refrozen, there's been a few reports in the press already this year about sheets of solid ice breaking car windscreens on the Autobahn after breaking off from vehicles travelling in front. I always have a soft broom in the car at this time of year, it only takes a minute to clear the roof, bonnet and lights of snow.