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Proof based higher math and being good at calculating the answers to arithmetical formulas are two pretty unrelated things that just happen to both be called "math".

One of my better math professors in a very good pure math undergraduate program added 7 + 9 and got 15 during a lecture, that really doesn't say anything about his ability as a mathematician though.

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That’s sorta my point: diagnosing well studied diseases and providing precise treatment is different from speculating causes for rare diseases.

Who knows, OP could be a paint sniffer and that’s their root issue. Brainstorming these things requires creativity and even hallucination. But that’s not what doctors do.

I thought all math was similar due to the ability to work with it requiring decent working memory. Both mental math and conceptually complex items from theory require excellent working memory, which is a function of IQ

You still have to practice arithmetic to be good at it, and a lot of mathematicians don't

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