Do some children it is indeed the first snowy winter in their lives right now. But winter is winter and seasons always change it's not snow that makes winter only. No way you can buy winter clothes if winter already started it is it's during autumn that you buy the winter clothes and most people will have them anyway. Enjoy the snow did you make a snowman already?
My mother was telling me when she was young then in autumn they store all summer clothes back in wardrobe and took wamr clothes out including winter coats, hats, sweaters, boots. In spring the winter clothes was cleaned and packed away for summer time. Nowadays we wear almost the same during autumn and winter as they are not too cold.
We used to do the same. I still store the typical summer clothes but today I need the warmer clothes to wear inside. The house is always cold and chilly even if it's 30°C outside ☹️
Shops still sell winter clothes during halfway summer and summer clothes during the end winter so people can be prepared. Not really the seasons to try them out.