What you should want is curious and creative _researchers_, but precise and totally unimaginative clinical staff. Those are often the same person. See the problem? You want protocols applied down to the last detail. You want nothing left out of standard operating procedure. That's what kills patients in practice.
You might mean creativity in the sense of "let's have guys who think about the right things, and search for rare diagnoses and analyze stuff to see what could work, like Dr House". But that simply can't be done in practice. You can't be testing for every rare thing, because the tail of low probability diagnoses is much too long! And believe me, you _really_ don't want creative doctors around...