As always - the argument here is:
-Males perpetrated 98% of rape or sexual assault by penetration in 2017 (See ONS). They are overrepresented in terms of: paedophilia, paraphilias, violence, etc. As a group. Not all males (of course!), but as a category they present a higher risk than females (who yes, are also capable of horrific acts but are underrepresented in such crimes) statistically.
-All trans women are biological males (by definition, in order to be "trans" they have to have something to transition from)
-The current definition of "trans" includes "non-binaries" and "cross-dressers," in other words "trans" now means "anyone who says they are." They may or may not choose to put on a dress. They could just say they identify as a "butch trans lesbian" - someone who presents exactly like your bog-standard straight man but wants to be called she and bully lesbians into having sex with a "lady dick". It's not just the gender-dysphoric transsexuals anymore. Our lesbian sisters are the canary in the coal mine here. We should notice what's happening to them in LGBTQ+ spaces, and push back on this dangerous ideology.
-I have seen no credible evidence that a male uttering the words "I identify as a woman" reduces their sex-based statistical risk of offending (in fact, the only paper I have seen seems to provide evidence to the opposite conclusion, and that was in a group of completely medically transitioned individuals). Show me the evidence that male "femme non-binaries" or "cross-dressers" have the same crime rates as females (not males) and I will change my mind. Anectodal evidence collected by feminists actually tell the opposite story (here's looking at you, Dana Rivers et al).
-If "trans" means "anyone who says they are trans" that means it has to include all the complete psychopaths like Ian Huntley who "say they are women" because they are manipulative dangerous offenders. Because you have no way of saying "no you're not trans," because all you have to do to be trans now is say you are. So that means there is no distinction now between such individuals and your Laverne Coxes.
-Many in the current trans activist movement actively campaign to make spaces "gender neutral" in order to cater to the "non-binaries."
-The trans activists wanting access to female spaces react very violently to women saying no. Not exactly something that encourages an open-door policy to these very threatening individuals, quite frankly... If I see someone wanting to bash women with a barbed wire baseball bat, I don't want them anywhere near female spaces.
In summary, all roads end in mixed-sex spaces.
This article shows us this is (like everyone knows) a BAD idea for women/children.
I would also be VERY curious to find out about the 14 cases in single-sex spaces and what the context was.... Because if they had anything to do with gender self-ID policies (not saying they did, but IF), that would be very interesting.