My where-the-f-have-I-been garsh, how can I be 61 and just now learning of the Kardashev scale for the first time?!
Consider the analogy “a picture is worth a thousand words” for the difference in mathematical application when pondering the vast abilities of a Type III civilization. We use words, Type III uses pictures. Such a conceptualization of mathematics cannot be merely obtained over time and through practice. The Type III were lucky to have this gift, a result of randomness in their evolution. Humanity was lucky to evolve with an enlarged brain and propensity for creative endeavor, and lucky to have a planet perfectly tailored to diverse life. Type III are lucky in different ways, much as Saturn is lucky to have beautiful rings around it.