That's just trivial to debunk. Infertile people may produce neither.
Less trivial: https://en.wikipedia.org/wiki/46,XX/46,XY
https://academic.oup.com/bjs/article-abstract/69/5/279/61857... "Ovulation in a cytogenetically proved phenotypically male fertile hermaphrodite"
Ovotesticular syndrome: https://rarediseases.org/rare-diseases/ovotesticular-disorde...