No. Not in my experience. Anyone with experience in research mathematics will tell you that making progress at the research level is driven by intuition - intuition honed from years of training with formal rules and rigor but intuition nonetheless - with the final step being to reframe the argument in formal/rigorous language and ensure consitency and so forth.

Infact the more experience and skill I get in supposedly "rational" subjects like foundations, set theory, theoretical physics, etc. the more sure I am that intuition / belief first - justification later is a fundamental tenant of how human brains operate, and the key feature of rationalism and science during the enlightenment was producing a framework so that one may have some way to sort beliefs, theories, and assertion so that we can recover - at the end - some kind of gesture towards objectivity