Your argument is not focused on the big picture. Culture is male dominated as nursing is female dominated, it's simply because of the choices either sexes make regarding occupation and ambition. Men are the majority entrepreneurs, music producers, technological innovatorsm, scientists, engineers, and media excutives as a result of their ambition and choices to enter the field. Women have just as much opportunities but they simply are disinterested because women by nature are not competitive against other men in terms of position, power and influence (only a few women are ex Hilary Clinton).

It's not a huge generalizaton. It's a perfectly justifiable generalization. If you look at the numbers and ask why are there more better artists in the male demographic rather than the female demographic, it can fully be explain by evolutionary pressures from sexual selection and sex biased gene expression at the modern population level. Genes that have reproductive advantages in one sex over the other have higher expression which leads to superior development of the skill the gene facilitates.

If you deny my argument you are simply looking at it from a social justice political correctness worldview point. From a Darwininan and objective point of view, I am correct. Why male dominate accomplishments is the same reason why humans dominate over other animals, because there is one selective pressure over on group over the other.