I think a lot of them are 'just' worried about being painted by the transmob as transphobic and unable to counter the 'word salad' that they'll be faced with it f they try to explain the bleeding obvious (That TW not W)
I can see your point, but MPs frequently have to meet truly awful people (I'm not saying GC campaigners are awful!), dictators, arms makers, people with dodgy religious or political beliefs ... the list goes on. They don't hide the fact they are meeting these people, they justify it by saying they need to for reasons of democracy, security, representation of their constituents.
Saudi Arabia are accused of murdering a journalist, politicians will still meet with Saudi representatives and find a way to justify it. Trump is a massive racist, homophobic misogynist, no one felt the need to pretend they hadn't met him.
They're hiding because they actually don't give a shit about women and girls (or transsexuals) and are more concerned with gaining woke points. Remember that when the next election rolls around!