You could also postulate that Steeze is simply our own vernacular used to describe someone with 'style' - and that Swag is the same, but juxtaposed into another industry or social clan.
Of course, perhaps Steeze would refer more to the way you ski, and Swag refers to the swagger in which one carries oneself whence in the liftline or lodge. Lets try...
"Damn bro... that motherfucker got swag... dope steeze on the skis too."
Hmmm... I think that was a miserable failure.
In the end its all about people expressing themselves, and we can use all sorts of wacky words to describe that pursuit. However... its really subjective and massively different between usages.