In my opinion intuition is something some people are gifted with and others not so much. I don't think it is something that can be acquired. You either have it or you don't.
Who knows but the author of the book I quote in the OP has a basic theory of why the two hemispheres of our brain (and that of every other creature with a brain or central neuronal mass) is divided down the middle. In the 70's there was a lot of pop psychology which came out of the famous split brain operations for people with such severe epilepsy that they would have to sever the connection between the two hemispheres to prevent the seizures from spreading unrelentingly. Back then they just made guesses about what functions each side was in charge of and everyone assumed the left side was most important because when that side suffered a lesion people lost the ability to speak.
But what the right side did wasn't as well understood. Turns out it is by far more important for making sense of the one's world. When that suffers a lesion people tend to see other people as robots with very little empathy. His theory is basically that the hemispheres evolved to attend to the world in different ways; basically the left hemisphere exists to attend narrowly to what is familiar to get what is already known to be important while the right hemisphere attends broadly to everything else. Broadly, the left side is for getting dinner, the right side is for avoiding becoming some other creature's dinner.
So the right side actually takes in much more of the world than the left but we are only aware of that through intuition. The left brain keeps an eye out for what is already known and of use. Some of us naturally come to value intuition which is helpful for creativity, problem solving and for getting the kind of big picture which can lead to breakthroughs in theory. Ideally you develop both. This
video was my introduction to his ideas, though of course the books are far more developed.