IQ is the result of a projection of an extremely high dimensional space into a single number that is not directly relevant for mathematics
How is it not "directly relevant"? What do you think the average IQ of mathematicians is, do you imagine it's anywhere close to the population average?
Being able (or not) to tie one's shoes or being an Indian peasant are NOT indicators of IQ. Not being socially successful is not an indicator of low IQ either.
I understand your point that genius mathematicians are really, really weird people. But I see no contradiction there, it's perfectly possible to have high IQ and be really weird.
My point isn't just that they are really weird, but that people think about mathematics in an extremely heterogeneous way, and reducing human brains to one number as some sort of "math hit points" is silly for that reason. You are just ignoring most relevant information.
What made Erdos good and what made Ramanujan good were weird complicated facts about their brains (I expect Ramanujan's IQ wouldn't be very different from his cohort in India, e.g. likely not super high, but for some reason he just "saw" natural numbers). This does not...
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