What it means is that they are men and men are the people who commit violence against women and men too. So we have a problem where if a man who dresses like a woman goes into a man's restroom, that person may be beaten or bullied which is obviously unacceptable. But rather than men dealing with violence against men, we dump that problem onto women and just say that those men should go into women's restrooms. But the problem with that is that they are still men and they are not outside of the statistical pool of male pattern violence. Not to mention a whole other laundry list of complaints from women about men being in their restrooms unrelated to physical safety.
The fact that the person is trans absolutely does not make them more likely to cause physical harm to a woman in a restroom, but it also does not make them less likely than another men to do so. So the problem of potential violence has nothing to do with the person being trans except as trans gives them access to women in these cases.
So because men bully men in restrooms, we dump men into women's restrooms (or other spaces) and I think that's an ill thought out solution that just does what always happens... men dumping problems onto women.
Also you didn't just quote my position. You rephrased it dishonestly which I would expect because the trans activist side tends to think that lying and slander is an acceptable practice as a matter of policy. It's okay to lie and slander to get the ends that they're obviously correct about. But that's just the ends justifies the means kind of thinking which everyone knows is stupid.
I don't even mind if we disagree man. Just so you know it's okay with me. I would expect thoughtful people to have disagreements about how to navigate this entire situation... I just wish you could be honest in your discussions and maybe offer me the same generosity.
This is why I don't support trans people using women's spaces in prisons, bathrooms, changing rooms, gyms shelters, etc.
Instead, I think that we should spend the money as a society to ensure that there are single use restrooms in every single government building, in all new buildings that are built, retrofitted to existing buildings whenever possible and placed throughout cities so that trans people always have a place they can go. That is safe and frankly, if they're single use restrooms that would benefit fathers with daughters mothers with sons etc. So it would be better for all of society anyway. That sounds like a win-win situation with nobody giving up any rights or privacies that they already have.
For a certain trans activists that will never be enough though. And it's because for some of them this is about power and about forcing people to accept something about themselves that is unacceptable to many. They aren't actually looking for a solution to bathrooms and changing rooms. They're looking to force people to see them them the way they do. But personally, I don't believe that given a real choice that all trans people would even side with trans activists on this issue and I would guess that many of them wish everyone would just shut up about it and come up with a solution that didn't create so much division.