That unnatural curving the wrong way looks totally cool if you have the upper body strength to establish the wrong-way curve and then snap! your body back around the other way, imposing your will on the law of conservation of angular momentum.
Here are two examples.
http://www.youtube.com/watch?v=1ngQgDVwqP8 (3:05; one of the finest performances in the history of skating )
And here is another "man."