When I was little, my mom made me sleep in a quilted belly band wrap every night because I would always kick off my blankets. My cousins also had them. They came from Taiwan. I was told that as long as your core was kept warm, you wouldn't get sick from sleeping in the cold. It seems really practical, FWIW.
I've Googled and can't find anything like them, but wonder if any of the other Asian Bees on here had similar ones as a child?
My lack of finding this darn thing is now making me think it'd be a great product to make and sell! lol!