I'm totally against trans ideology, but it struck me that whilst what you say is true, the change here is actually to accommodate women who believe they are men.
Transwomen don't have periods, so the menstrual leave for "people who have periods" won't affect a trans woman because he won't have periods.
In a way it's a bit of a hoodwink on these trans activists; 'we are women we are women'
But.. you are not "people who have periods" so you don't get the menstrual leave, which would be an acute reminder you are not really a woman at all.
Another one I spotted was they were going on about wanting access to female toilets. The trans women did not want unisex toilets, they wanted to be allowed to walk into the women's.
But... what they got was unisex toilets. So now they're in with the men anyway.
This is all just a case of them being appeased, but in a crap way that doesn't really affirm them at all, and they are non the wiser. I don't see them complaining that toilets are unisex and not male and female but they can go in the female one.