@scratchedbymycat firstly, thanks for sticking around and at the risk of you seeming to be bombarded with posts I would like you to read and respond to this from me.
You and NotHavingIt and a couple of other posters have said that the OP came here in good faith and have used words like compromise, understand their position, conciliatory, bring them to our side, we need the moderate TW with us, explain why this is an issue for women they want to listen.
We did explain. They hear but they don't listen.
The OP, the other TW who entered the thread in support of the OP, and Debbie Hayton all know the following - they absolutely know it:
Them accessing women only spaces and services is not wanted or welcomed by women
Them accessing women only spaces negatively impacts on women causing a number of women to self exclude from those spaces and services that are supposed to be for their use and to give them safety, dignity, privacy and comfort
Them accessing women only spaces opens the door to any and all men doing the same as their access is on the basis of their own self-id about themselves and cannot be challenged, even if a woman was brave enough to do so, because that is a most heinous crime - a look or even a woman walking out is considered an absolutely hideous action.
They are aware of all this, they understand it, they hear it often enough and yet they will not change their behaviour, they will carry on as they are doing irrespective of the consequences to women, they don't care, they put themselves first, they are not on our side they are on their side and only their side.
This is not in any way, shape or form good faith is it? They have already decided they will not alter their behaviour. This is them exerting their power, control and domination over women and they firmly believe they have a right to do so - see the blunt statement by the other TW on this thread.
They could, if they wanted to, have done a hell of a lot to change this, knowing what they know - lobbied for alternative provision due to the detrimental impact on women, banded together and stated en masse that they will always be using the facilities for their sex (the men's) and if other men don't like it tough, get over it. But they don't, they don't want to.
Now, please tell me exactly how using different language or anything else is going to change their mindset? They've had the reasons why women don't want to or cannot share spaces with them, they are aware of the impact their presence has and yet they to a TW - the OP, the other TW on the thread, Debbie Hayton, all say they will still use women's spaces and services, every one of them and these are the 'moderate' TW who we are to have on our side? Cajoling, sympathy and appeals made to their better nature has been done and rejected and these are the 'moderates'. The 'softly, softly' approach hasn't worked at all, in fact it has made things worse, however, blunt, uncompromising language and actions is making people sit up and take notice.
If you have a different strategy that will achieve the desired end goal, please share it and please express is clearly.