IQ tests show there are a greater number of men with very high IQs than women, and scientific ability highly correlates with IQ, so your “basic principle” doesn't hold muster.
Do you have a source for this? How can we be reasonably certain IQ assessments aren't inherently gender-biased? Is IQ directly-correlated to scientific contribution?
Richard Feynman's IQ was famously average though his scientific contributions to society were most certainly not.
Richard Feynman's IQ was famously average though his scientific contributions to society were most certainly not.