I'll wager the real gaps are even larger if men responding to the survey weren't afraid of accusations of sexism and women responding weren't afraid of accusations of gender disloyalty.
Personal observations, as a female, who has had multiple managers of all genders:
* 1 sexist guy, 4 decent guys, one clueless guy who was boss only by seniority
* 1 woman clueless for promoted above ability, one alpha female who was endlessly critical of me as mother with young kids (example: demanding overtime when I was working part time, repeatedly)
* 1 transgendered who was a prick both before and after surgery, it still works there but has no more subordinates.
In general, most male managers are decent. I would be wary of working for a woman, though the kids are older now. I will never work for a LBGTA again.