Perhaps you could write with less verbosity and then you wouldn't find it such hard work.
Only those trans women with a GRC are legally women, otherwise people who were assigned male at birth remain legally male. Vicky Verka for trans men.
We aren't talking about the features of a GRC though. We are talking about whether saying 'I'm a woman' means you are a woman. You, and others, have very much suggested that it does. It is very much an insistence of transactivism that it does because 'You are who you say you are'. It's never been '...but that only applies if you have a GRC'.
Andrew Miller has clearly been regarding himself as a woman for a number of years. By any metric that transactivists would insist on, Andrew Miller is a transwoman.
It's a bit disingenuous of you to now try to draw a distinction between trans people with a GRC and those without, especially when you say a GRC simply confirms your innate gender.
There's little difference between Grayson Perry and Eddie/Suzy Izzard. Neither takes hormones or has had surgery as far as I know. One says 'I'm a male transvestite' and nobody would dream of calling him a woman because he says he's a man. The other says 'I'm a woman' and is regarded as trans, everybody is expected to call him a woman, allow him to use women's spaces, use female pronouns, simply because Eddie/Suzy says they are a woman - no GRC required.
This just seems like gymnastics again, this time to avoid having Andrew Miller put in the column marked transwomen offenders.
'He's not really trans.....'
He identified himself to the police as Andrew Miller. So it seems perfectly proper for the BBC and others to refer to him thus. What he meant or understood by 'transitioning', we don't know.
This is the point though. Nobody knows what 'transitioning' to male or female means. It means whatever you want it to mean. Which is a not a sound basis to use for laws that affect others.