I think ANYTHING that is blended well and has no definite edges can be called a smokey eye. That being said, smokey eyes represent a huge number of looks - I can imagine how frustrating it can be as a makeup artist when your clients ask you for a smokey eye...it's like asking what type of dessert you'd like to order and you get "something baked".
Personally, though, I like to think of smokey eyes as the classic dark to light eye, darkest at the lash line (almost black, even), then grows lighter as it reaches the brow bone, in any colour(s). Another thing - to me, smokey =/= black smokey eye! I really think smokey is more of a description of technique more than anything.
An eye that has a lighter inner corner and darkens as it reaches the outer V - depending on how defined the crease is, I'll call it a "classic" eye or a "creased" look. So I mean, it can get really confusing once you start naming things, so sometimes I just like to lose the labels and do whatever I feel like doing.