I must confess that I'm behind with the acronyms and don't know what TWATW and TWAW mean
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The thing is, noone wants to make life hard for other people, do they? But when one group of people tell another group of people that they have to accept that they are going to have their privacy, rights and freedoms curtailed because any member of another group can claim membership of their group, just by saying 'I feel like I belong to this group', and there will be nothing that anyone can do to check, verify or exclude that person from the group, because the inclusion criterion is "self-identification", then you can understand the feeling that they are being sold out for an ideal.
If 1% of the population is trans identifying, and 50% of those people are trans women, but 50% of the population is male and 48,167 rapes, 70,159 sexual assaults and indecent assaults on girls, and the lists to on, in 2017/2018, that's a lot to open our girls up to. Because you can guarantee that people who have the keenest interest in girls and women will want to self-ID for the wrong reasons.