Counter-example: Geoffrey Hinton (who developed backpropagation), has a self-proclaimed phobia of mathematics. There's plenty more to innovation than solving those IMO problems, Google Code Jams, etc, because they involve very specific practice (and over-fit the needed skillsets).
It's instead the encouraging atmosphere and resultant inflows of capital (intellectual and otherwise) that may put China ahead in the future.
I would think so. A direct comparison has been written about in literature long after both the story/concept were introduced [1]:
'A man who is possessed by his shadow is always standing in his own light and falling into his own traps ... living below his own level': hence, in terms of the story of Dr. Jekyll and Mr. Hyde, 'it must be Jekyll, the conscious personality, who integrates the shadow ... and not vice versa. Otherwise the conscious becomes the slave of the autonomous shadow'.
https://www.youtube.com/watch?v=zwAD6dRSVyI