As I reported in another link, a sou'wester could be worn in a "Tempest" but the connection is still very tenuous particularly as I wouldn't call south and west are not really extremes just directions. (north & south might be, or east and west but not south and west!)
A sou'wester gale is pretty fierce (extreme?) but why would one have a sou'wester hat specifically in a house. It's hardly a typical constituent of a house or its contents? (Still, I can't see why 'eyeshadow' comes under this heading either!)