That sort of argument makes me a nervous. One of my favorite mathematical quotes is a sort of related one about the Axiom of Choice, referenced and explained at https://math.stackexchange.com/a/787648: "The Axiom of Choice is obviously true, the well-ordering principle obviously false, and who can tell about Zorn's lemma?" That sounds like the "obviously false" branch of a similar debate about the continuum hypothesis.
I've generally found the opposite. Polemically, a true mathematician can write theorems where every single proof is riddled with errors (actual errors, not just "typos") but all results, building upon each other, are still true; a true physicist can tell you what the result of a calculation will be even if they are unable to actually do the calculation.
Maybe you would call that "a mathematician's/physicist's intuition", rather than "human"?
I think intuition is not something you’re born with, it’s something you build through experience.
The best physicists I know don’t sit down and calculate that often. They rather play with “cartoon pictures” to figure out what problems are interesting and what their solution might look like, and only throw math at the most promising of these problems.
