Yeah I'd say your perception of them is pretty much the best I'm gonna get from someone over the pond. They like to show off brands like Nike, as if they're fashionable. It's more the 'G wannabes' that wanna show off their bling but I get what you mean.
It's kind of wrong to categorise people, people with longish hair (Alex Turner 2007 long, not long like now..) are considered the Indie cool type. Number 2 and a trim on top is considered chavvy. If you shop at Topman (dunno if they have Topman over there) It used to be the Indie type shop where all the cool people go, if you shopped there you were cool... until the chavs started taking a fancy to it.