Reporting in for the Viking era and a little later. Easy answer is we can't know for sure, snow melts and there's not many sources that talk about these sorts of things.

Fredrik Ljungqvist who is a historian and an environmental researcher writes that in fact the Norsemen were very receptive of the snowy weather and if there was a good layer it was more beneficial to not remove it as it made it a lot easier to use sleds. In areas with little or no roads the snow was actually a blessing of sorts as it made it much easier to move large amounts of trade goods - some towns only traded goods during the winter because of this. With a sled on snow you could travel 8 Swedish miles a day (50 english miles), which is twice the speed you could during the summer. So villages, especially those far away from other villages did generally not attempt to remove snow from roads as far as we know, likely because it was far smarter to leave it and use it to your advantage instead. Seeing as Birger Jarl's Stockholm did not exist yet this was likely the case in the nearby villages.