The problem is that there's no reason to think, or at least to always think, that "analytical" thinking is superior to "intuitive" thinking.
After all, "analytical" thinking concluded that the Jews were a blight on the German body politic, and that the best way to deal with them was to industrially exterminate them.
Besides - anybody who wants to dismiss "intuitive" thinking needs to sit down and read a little about Albert Einstein.
Or Newton. It is said that when he was about 7 and living on his grandparents’ farm, would spend time just waiting the patterns formed by the light shafts in the barn. As he got older, and began to learn math, he began to work out theories about light and all this ended in his revolutionaries theories about light. Richard Feynman began tinkering with things as a lad, and became an inveterate problem solver. As he grew older, he often developed his own math to solve problems, and as an adult scientists, he note dhow some very, very brilliant physicists were dependent on formulae and because of this had a hard time getting at the heart of problems. The true scientist “sees”thing differently from the mere “thinker.”