Between 2006 and 2015 there were 878,707 reported cases of rape in the United States. The YouTube video that attempts to correlate transwomen with violent sexual offenses against other women in restrooms depicts 26 trans women and 2 trans men over 40 years.
You know perfectly well that it's only in the last five or so years, that organisations have started to introduce gender neutral spaces, let men go into women's spaces etc.
You think women can't see what you're doing when you post about 40 years?
More pressingly, this isn't just about the actual rapes and assaults that have taken place. This is about the fact that now women will have to be prepared to accept that this is yet another space where we have to anticipate that we may be raped / assaulted or subjected to other male sexual boundary-trampling; and where we will have to psychologically and emotionally (and sometimes physically) arm ourselves against it.
Our lives are already heavily constrained by the ever-present threat of male violence. We already take longer, lighter, more circuitous routes, more expensive transport options, less convenient but perceived safer parking spaces, less scenic but safer walking and running routes. Some women do not go running or to the gym or local shops after dark; some don't open their front doors. Some deliberately choose clothes or shoes or make up specially to try and avoid male attention and/or violence. Most of the time, we are so used to going through these rituals of warding off male violence, because we've been doing it since the age of 12 or so, that we're not even consciously aware we're doing it.
That ever-present threat, is why sex-segregated spaces like the train sleepers are so crucial: they enable women to go about the world without a male protector and know that there are oases of safety where we can switch off and relax and not worry about men attacking us. They guarantee our freedom. It really is that simple.
Every time a sex segregated space is taken from us, another option for many women is taken. You can argue that it doesn't matter that much: there are other options, we can go on the daytime train, we can fly, we can drive. But if your feminism is about restricting women's options, rather than expanding them, I'm not impressed by it.