I dont think these questions are out of place. If you are an organisation saying you are feminist, and you are supporting victims of sexual violence you need to make sure you dont have some anti woman, its always women's fault person being part of directing the policies of the organisation.
It is only with hindsight that we can say / assume that it was used to filter out GC feminists.
The woman who tweeted who said she didn't applly because of having to put it in writing, clearly has no idea of what her obligations would be as a trustee.
...
Have just seen the tweeter is a solicitor!!!
This is exactly why the confusion that because someone is a professional they are somehow better qualified to be part of overseeing charities.
I know of one women's group that was thrown in to chaos because the senior staff felt it necessary to start a process against a member of staff that may just have led to some re-training etc.. When this start of the process was reported to the board, the member who was a practicing solicitor said she should just be sacked to ensure staff knew their place! 
Honest this is a true story. Including "professionals" onto a board of trustee because you can use their expertise is a real danger. One they wont want to do unpaid work, and two they may well be reactionary racists and misogynists.
Trustees are mainly concerned with formulating the policies of the organisation (so yes you do need to know their views on male violence etc.), making sure that finances are being properly managed and the organisation doesn't become insolvent, and in the event of a staff dispute, are the last resort should there need to be a final decision re being sacked and the staff member wanting to appeal.