In regards to prisons you've said it frequently.
It allows you to dismiss the stats that show that transwomen offend at the same rate as other men, if not worse.
This is where your logic falls apart. Your so-called logical argument is that cats have ears, all dogs have ears; therefore cats are dogs, and dogs are cats. My argument is that this is illogical. Cats and dogs are under the umbrella classification of mammals; it doesn't make them the same.
The normative vocabulary being used is a vocabulary not created by trans people, but by cis people who can't discriminate (in the scientific sense) between a cat and a dog). This is a basic skill something that parents try to teach children from a very early age - ''this is a picture of a cat; this is a picture of a dog'' - a skill you've yet to master.
In this analogy, transgender = mammals. Dogs are men who cosplay as women, vicars are not usually dogs even though they wear frocks and dog collars (but then they might be part time - just not at the weekend), cats are trans women.
Dogs are counted in the prison stats as men because the law says they are not cats. Dogs don't need a certificate to say they are dogs. Cats are cats because the the law of the land says they are cats - we've checked them, they're definitely cats.
Gender critical nutjobs say ''dogs will always be dogs'', all dogs are equally dangerous, I know a dog when I see one''. They also say one exception is in the women's toilets where it then suddenly becomes impossible for them to tell a dog from a cat. Therefore ''we demand that the law is changed - we want XL bullies to be allowed into the women's toilets because that makes us feel safer than seeing a domestic cat''.
And that is the parlous state of your argument one that doesn't a test by any rational human being - and that is Dawn Butler Brent's point.
Oh and Simon Clarke is the toddler who hasn't reached yet reached his first birthday; then when he is suddenly aware, the parents celebrate that breakthrough.
Addendum: also you MUST be Simon Clarke and I claim my five pounds. PS ( I used your logical processing to arrive at that conclusion).