Why do they appear to hate other women so much that they are prepared to deny reality?
Very few of the women I know who are wholeheartedly of this persuasion hate women at all - it comes from a very deep seated "be kind" impulse, which I know is heavily socialised into women. My friends who are TWAW are also likely to worry about child poverty, about what's happening in Gaza, about inclusion in schools, about cuts to public services, etc etc. They would also worry about FGM, VAWG, they probably went on take back the night marches and would unironically say they are feminists, fully supportive of women's rights, etc etc etc.
What they have done is bought fully into the heavily promoted idea (Dentons report) that transpeople are very very sad and hurt people who are the most marginalised, most transgressed against and most vulnerable and therefore need extra care, attention and concessions, and see admitting men to women's spaces as an "easy win" that helps these poor people without any significant loss to women (along the lines of the "equal rights for others does not mean fewer rights for you" trope).
So when they see women like these ones in Chester disrupting events and asking questions, they don't see people worried about women's rights, they see people being mean, cruel, exclusionary. And they are willing to engage in the cognitive dissonance required by TWAW in aid of what they think of as being kind and inclusive, and also because other people in their tribe/political persuasion hold the same view so there is a strong social bias in favour of holding this dissonance that doesn't involve hating women.
There are of course other cognitive dissonances required to identify as part of the ostensibly left-wing tribe, for public policy/inclusion/equity reasons eg:
- There is no downside risk to a small business in hiring a 30 year old woman who just got married who might take multiple maternity leaves over the next few years
- Inclusion in mainstream education is always better for all children and needs can always be met in full
- Consent is always easy and clear to recognise, people are always sober when having sex and women should always be believed and never ever lie/change their minds after consenting sexual encounters
- Diverse teams are always more effective in all circumstances
- It doesn't matter where someone went to university so we can take university off CVs in favour of widening access beyond elite institutions
- The outcomes for children are better if they grow up in a two-parent family
- There are no trade-offs in choosing something that might be better for society as a whole
There are of course masses of cognitive dissonances required to be part of the "right-wing" side too especially in places like the USA that have taken it further eg. ban/restrict abortion but also don't provide contraception or sex education or support for famillies after a baby is born, expect people to work to pay for health care but don't support them when too sick to work, cut public services and also expect people to do more with less, leave a huge trading block intended to reduce barriers to trade and expect a benefit to the economy, restrict immigration and cut funding for training and also expect domestic workers to seamlessly replace skilled workers from abroad etc.