A lot of them talk very openly about their mental health struggles.
Being a man, or having mental health struggles, or even acknowledging that some men have mental health struggles is neither belittling or demeaning.
More importantly, why are you still banging on about the men, it's not about them.
This is about how beneficial it will be to women that the WI have decided to stay single sex (instead of taking the other option open to them, which was change their charter and become a mixed sex "People's Institution"), and subsequently how the WI must obey the law regarding single sex groups.
I'm quite interested to see how they go about these "Sisterhood" groups, and I hope that if it comes to it and it becomes necessary again, that someone threatens to sue the WI again if they misappropriate WI funds for the "Sisterhood", or unlawfully discriminate against anyone.