I think it would be great if hunters or foresters (who work at large distances from the warehouse) would warm in their professional buildings or at least don't die from cold during work (for example, they could not go so far from their homes).
This is a great idea, could also add in small and cheap "warming stations". Maybe instead of a big tavern, a small Inn that people can use to eat and get warm, but not set as a home or use for procreation.
It's not just the foresters, gathers, and hunters but laborers that go out gathering materials. Perhaps giving them the ability to make a warming fire and if they have food cook a meal. Chance of fire of course or attracting animals if at "night".