OP, I know you don't want my two cents, but I'm adding them here anyway for others who might read.

Re, language generally:

instead of speaking of "bathrooms" I'd suggest saying "communal toilets."

Also, when speaking of the spaces women are concerned about, add in "changing rooms" - coz "changing rooms" covers a huge number of spaces that affect many of us: trying-on rooms in retail shops; changing rooms (and showers) in public and private gym, pool and recreational facilities; "locker rooms" & showers in schools; and changing rooms in the many workplaces where employees wear uniforms that are different to their street clothes.

Also, in pointing out the behaviors that girls & women don't want to be subjected to in female communal toilets, change rooms, shelters, prisons, etc - please don't focus exclusively on violent activities like sexual assault and murder. Coz touching isn't the only issue, nor is it the main issue here. Looking, smelling, listening are.

Most TIMs are not gonna assault or kill us in female spaces. But ALL TIMs - gay and straight - will be interested in looking at us, often in unseemly ways. The bottom line is, girls & women should not have to put up with being looked at and pried upon by males, regardless of how they identify, in these settings.

Doesn't matter if a male person is looking at our bodies in a leering, sexually aggressive heterosexual way, an obviously pervy way, a "merely" appraising way, an appreciative way, a jealous and covetous way, or a curious but non-sexually threatening way (as many gay TIMs do) - TIMs will always be looking with a male gaze that is inherently prurient. Forcing girls and women to have to put up with any male gaze in these situations is inappropriate and a violation of our rights to privacy, dignity and peace of mind.

Also, other factors must be taken into account: age differentials and the overt ageism of many TIMs; the extreme standards of beauty, femininity and acceptable female body types that most TIMs embrace and want to impose on those of us of the female sex; TIMs' often prurient attitudes and fetishes about female bodily functions such as menstruation, pregnancy and lactation; the racism of many TIMs and TRAs; and trans people's generally horrible attitudes towards persons with physical disabilities.

Just as it's not appropriate for TIMs in their teens, adulthood, middle age and their senior years to be gazing upon the bodies of perfectly healthy young girls and women in change rooms, it's not appropriate to create situations where young TIMs like Blaire White and Contrapoints and older TIMs like Jenner with all their tons of cosmetic surgery and plastic parts get to set their appraising, judgmental, jealous, covetous, often scornful and generally TIM supremacist eyes on the bodies of girls & women who for various reasons - age, race, pregnancy, weight, mastectomy and CS scars, cellulite, PCOS, menopause, physical disabilities - will inevitably not live up to these men's strict, porn-derived, drag-defined standards of what girls and women should look like.