No, that's not the claim. The stats (it's not a claim) show 47% of transwomen inmates are sex offenders. That's at least as high as other men, and far higher than women.
Your claim is that transwomen don't offend at the same rates as other men. Those stats from the US show they do.
There is no reason to treat transwomen differently from other men. The crime stats show they present the same risk as other men, but obviously it's the fact that they are male that is pertinent.
As I've said before, there are groups of men that actually do offend at lower rates (pro rata). Nobody thinks that means they should have access to women's spaces and services.
You can not see the obvious flaws in what you say?
What you say does not show that trans women at large are a danger.
How many times does it need explaining to you? The prison stats need more careful reading. You know this. In the UK, for example, the prison stats for transgender people does not even include the number of trans women. The number of trans women in prison in the England & Wales committed for sexual offences is not known, but we do know it's a tiny number, and then relates to pre-transition behaviour.
The number of trans women prisoners in England & Wales in women's prisons is less than 5, and of that number none are committed for crimes against women.
Transgender women who have not transitioned are legally men. Trans women are legally women. However, you're doing this mischaracterisation again aren't you by calling all transgender prisoners 'trans women'. They are not, they are legally men, and treated as men.
You know full well that you are lying, but you never stop. This is because you are a bigot.