I wonder how many people do this.
I don't know about those crazy NPC's with their thin clothes, but I don't want to freeze to death.
I do this very often.
When I'm in a snowy area with a harsh cold, then my wood elf wears Skaal armor. Very thick fur like that should hold it. In more warmer areas, she'll wear her elven armor.
Right now my wood elf is going to Dimhollow Crypt, considering the area is in the Pale, she'll have to do it with her fur coat. I'd imagine that walking through the cold without proper apparal would disturb combat performance aswell.