Yes, and how well did division by sex work out for women? You seem to be forgetting that the purpose and outcome of division was sex was the oppression of women.
The "division" in that sentence referred to recognising the biological differences between the sexes, and providing separate facilities for the two sexes when required. This is a feminist part of a predominantly women's board, so it would be surprising if anyone here was advocating for further oppression of women.
As for division “by gender identity” why would we even consider that?
That's what people who identify as the opposite sex want. See men who want to compete in women's sports, be housed in women's prisons, take part in schemes to promote women in politics or science.
They insist that they should be included in these events not because of their sex, as that is clearly male, but because of their gender identity.
They are quite specifically not requesting a lack of division between men and women, they just want the division to be by gender identity.