Galaxy
The offending rate and type of crimes remains different for men than women, this is not influenced by any beliefs a man might hold.
This is the crux of the matter. The magical thinking of the trans movement that doesn't question the notion that TWAW leads to the cognitive dissonance. If they are women, the logic goes, then they will behave as women. Never mind their male bodies, male hormones, male heterosexual urges - they are now women, so will be perfectly safe to allow into the spaces where women undress, are unable to run away, or are otherwise vulnerable.
This has not been true of a section of the male population at any point in history. 26 years ago, 226 years ago, in 26 days time - where some men have access to vulnerable women they will take advantage of it. Massaging the figures to suggest that women are responsible for more sexual and violent crimes will not alter that, and nor will making sexual assault on a woman by a transwoman a 'woman on woman' crime.
As is routinely pointed out on here, 'policing' entry to women's spaces is problematic, and as is also routinely pointed out to counter that, it is not up to women to find the solution. However, making it an additional offence for a man without a GRC to be in a woman's space if he commits a crime might go some way towards a deterrent. If someone has gone to the trouble of getting a gender recognition certificate the chances are they genuinely wish to 'live as' a member of the opposite sex, and are thus less likely to be a threat. I do understand that not all transpeople want to jump through the hoops required to get one, but if it comes down to a clash of needs, with women's safety on one hand and men's inconvenience on the other, it seems to me that protecting women, in what have always been our spaces, is the obvious choice.