Very true. I am a person whose intuition works in a very weird way in that I try to abstract away problem details and try to apply rigor too soon. For most of my high school and early undergrad, I spent a lot of time being frustrated by "intuitive" examples that people used to give me which didn't really make sense at a fundamental level and seemed to be attempts at handwaving away the problems I had. It's only when I started learning more abstract mathematics did I really start having fun and seeking out how to create my own intuitions for things.