> The skew only means the smartest 1% of men are smarter than the smartest 1% of women.
I don't think you can put it like that. Even if the IQ (or similar "cognitive capacity" score) distribution is broader&shallower for males, it doesn't mean what you had said.
Judith Polgar was #7th in chess rankings, even if overall number of players scored with ELO is counted in millions?