Your interpretation is wrong. Your memo was a great example of what’s called “motivated reasoning”—seeking out only the information that supports what you already believe. It was derogatory to women in our industry and elsewhere. Despite your stated support for diversity and fairness, it demonstrated profound prejudice. Your chain of reasoning had so many missing links that it hardly mattered what your argument was based on. We try to hire people who are willing to follow where the facts lead, whatever their preconceptions. In your case we clearly made a mistake.
Have you ever noticed how no one takes sentences that start “I’m not a racist, but…” at face value? Here’s why, in the words of Jon Snow in “Game of Thrones” (season 7, episode 1). When Sansa Stark tells him: “They respect you, they really do, but…,” Snow laughs and comes back with: “What did father used to say? Everything before the word ‘but’ is horseshit.”