A major problem I can see is that the more interesting a problem becomes, the more impossible to visualize. You might visualize a system of linear equations when it is 3 dimensional. But try visualizing a system with 1000 dimensions. It breaks down very easily. In the end my opinion is that one is simply going to be better off learning to think critically and in the abstract.
Again just my opinion - those who say they are better at visual problems often just need to practice more without the crutch.
