In Ireland, equality laws were changed so there is no reference to sex - there used to be, but somehow that was overwritten retrospectively - only gender.
The result is that sex is not a protected characteristic, so women [and men] have no specific protection under equality law. Entirely removing the word 'sex' meant that it wasn't possible to have the exemptions that have always been legal in the UK.
In short, women as a biological and social class have been written out of the law here.
Interestingly, it would appear from the last general election campaign that political parties are starting to get the message that genderwoo is not popular with the electorate, and most if not all of the political parties quietly slid their trans policies off of their home pages and into a PDF somewhere...
It would be ironic if the UK legislature moved to do to your equality legislation what we did years ago, and are now having buyers' remorse about - well, some of us are!
The SC ruling said, if I remember rightly, that anything other than the clear, obvious definition of 'woman' as 'biological woman' results in incoherence in the law. Shifting the goalposts so the law refers to gender and not sex is an example of the lengths to which 'they' are prepared to go to deprive women of our rights.
Ditto toilet arrangements - they'll do anything under the sun to avoid the most obvious, and long-established arrangement which provides women with women's single sex toilets, full stop.