This seems like a very flat view of intelligence. In my mind a sufficiently intelligent person isn't just "good at math" and is capable of understanding the landscapes you've laid out above and would also understand how to improve in them and to navigate them, assuming they're sufficiently motivated. Even then, intelligent people are better at parsing themselves, their own drives, knowing what they want and are motivated by and move towards it. I also think many of the most intelligent people I know are (gasp) extremely mature as well, as if those often go hand-in-hand.
This sort of feels like a cope-comment trying to say that smart people aren't ACTUALLY smart, but I'm not sure the motivation for that.
This is called building your 'catalogue' in art, especially concept art. In order to draw something (well) from imagination, you should draw it from reference many times. Then when you draw from imagination, your brain will pull from what it knows. And since you studied the subjects, the textures, the shapes, etc, so well, you will have that stored away and will be able to do so.