First, it hasn't been all that cold in Alabama in recent years but also my "cold weather" jackets don't typically have large pockets & my "formal wear" jackets mainly don't get worn.
I thought you were refering to "formal wear" jackets due to the later post about men's wallets. I've never seen men keep a wallet in their "cold weather" jacket but men who typically wear suits may carry their wallet in their "formal wear" jacket pocket.
It's so nice when we all speak the same language, differently.