There is an element of truth in what @Nimbostratus100 posts - but what is described is applicable to extreme situations, not the light dusting of snow being experienced across the UK today. It also applies to other wintery conditions such as extreme frost and wind-chill, when no snow is present.
As someone who lives in the mountains where there is regularly several feet of snowfall - sometimes as quickly as overnight - there are other things to consider before reaching the situation that the OP describes.
Firstly - don't get caught in the snow! Listen to the forecasts and if the advice is to remain at home or not travel or not go outside, then stay where you are.
Secondly - be prepared. When it snows here, even if the forecast is for light snowfall and little danger of snowdrifts, blocked roads etc. then people don't set off without having a flask of coffee, a bottle of water, food and energy bars etc. in the car or in their backpack in case of unexpected delays or breakdowns.
Thirdly, if you have gone out and subsequently "get caught in the snow" then seek shelter immediately. Get out of the cold, wet environment and into somewhere sheltered. Don't leave your car unless its in a dangerous position. Get into any shelter available.
After that, we're into survival territory, where the OP's advice is relevant. Don't run around outside; do huddle together for warmth; do dig or build a snow shelter etc. Valuable skills on an alpine mountain or in the wilds of Canada or Alaska. Not so relevant in Surbiton but maybe more relevant in the Highlands, Peak District or Pennines - but see item one and don't venture out if there is a chance you might get caught in the snow.