One doesn't exist completely without the other... But you have people that are naturally good at something without knowing the background.
And I want a surgeon who will think of anatomical variations rather than one who can't do it if the situation isn't according to the textbook.
And there are lots of things that, with a logical mind, can be called intuition, analogy or deduction even without knowledge of the particular skill.
But having both is the best of both worlds.