There are reported incidents of women and girls being assaulted by men who think they are women in women's spaces, including toilets. Katie Dolatowski being one infamous example, held a knife to the throat of one of the girls he assaulted.
However, amazingly, there are NO, that is ZERO, NONE reported incidents of men who think they are women and present in a way that they believe is stereotypical of women being assaulted in men's toilets or changing rooms when using them. In fact some prominent TW went into the Men's toilets to 'prove' how dangerous it would be for them and the stunt backfired on them massively the men in the toilet took absolutely NO notice of them in there at all, not so much as a side eye or comment.
All men, however they feel about themselves, however they dress, whether or not they are taking chemicals to change their bodies, wear make up or have had any surgical alterations to their bodies should stay OUT of ALL women's spaces. We don't segregate these spaces on the basis of people being nice, how on earth would that work? They are segregated on the basis of sex and sex does not change no matter what. Allow one male into a women's space the door is opened for all males.
If transwomen are unhappy about using the facilities designated for their sex they need to lobby for alternative provision, you know just like disabled people had to.