I guess I would be concerned about proper support. I can go from fine to in pain in one run if I go too neutral or too motion control.
I dont run in terribly cold, but I did do one snowy run in my normal shoes and my ski socks and other than having to loosen laces up quite a bit it worked great.
Lost successfully, maintained successfully. Followed by a whole lot of setbacks and obstacles. Starting over with the knowledge gained before.
Journey to the next decade: