Violent males attack the women they have access to. Traditionally that would be relatives in the home but now abusive "husbands, fathers and siblings" are told they have a right to be in any female spaces so long as they declare special feelings.
And it shouldn't need pointing out that these public spaces aren't always busy.
Have you used shopping centre toilets during a quiet spell? Usually located up escalators and down long corridors, through several fire doors.
Have you ever stayed on a hospital ward at night?
Have you ever been a member of a cheapo unstaffed 24 hour gym with basic changing facilities?
Now these males have plausible deniability to be in any single sex female space whenever they want, ready for an opportunity to present itself.