Yes, I think the important thing to question is whether people should have the right to falsify their birth details on their birth certificates (in the UK, it's my understanding that the birth record remains unchanged, but a note is made on it and birth certificates issued following the acquisition of a GRC will be issued in their new, falsified form).
Discussing the point at which a man should be allowed to be documented as a woman (or vice versa) is the wrong question. Discussing whether everyone should have the right to choose their legally recognised sex is the wrong question. The ECHR is about human rights. It's not a human right to be able to falsify official records.
I think it's worth thinking about how we got here, by examining the issues of breaches of human rights and their remedy (for the UK) in terms of the Goodwin ruling and the GRA. If there is a breach of human rights there will usually be a range of options to remedy this. Assuming that the only way to remedy the breaches of human rights in Goodwin was to pretend that a person had changed sex was a poor assumption.
I was just looking in Hansard as I remembered reading that someone (I thought it was Lord Tebbit, which turned out to be correct) had mentioned the government participating in fraudulent behaviour through the falsification of birth certificates under the GRA. His contributions are interesting as someone who foresaw a lot of the problems with the GRA. But while looking for that I also came across the contributions of Lord Chan and Baroness O'Cathain here:
https://publications.parliament.uk/pa/ld200304/ldhansrd/vo031218/text/31218-05.htm
They both talk about the effects on wider society of legal recognition of people as the opposite sex. From Lord Chan's speech:
It is therefore likely that individuals applying for gender recognition certificates will continue to be men with male sexual organs. About half of male transsexuals have not undergone surgery. If they are then given gender recognition certificates classifying them as females, serious consequences would affect their partners, children and other people, including women who use public toilets.
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More medical research is needed into transsexual people in order to provide them with appropriate support. The Gender Recognition Bill assumes that the condition is already a discrete and clearly agreed medical condition, which is not the case. Therefore, I fear that the Bill would infringe the rights of third parties.
Baroness O'Cathain's speech includes these quotes from medical professionals at the Portman Clinic:
"The experience of many psychiatrists, psychoanalysts and psychotherapists working with transsexual patients is that they are individuals who, for complex reasons, need to escape from an intolerable psychological reality into a more comfortable fantasy. By attempting to live as a member of the opposite sex, they try to avoid internal conflict, which may otherwise prove to be too distressing".
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"It is a measure of the urgency and desperation of their situation that they frequently seek surgery to make their fantasy real. By carrying out a 'sex change' operation on their bodies, they hope to eliminate the conflict in their minds".
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"Unfortunately, what many patients find is that they are left with a mutilated body, but the internal conflicts remain".
This shows the danger of the rest of society going along with this fantasy and the detrimental effect on these individuals in doing so.
I've picked out below some excerpts from her speech where she mentions the rights of others. This is something that neither the ECHR nor the GRA acknowledge, that allowing fantasy to invade reality affects the human rights of the rest of society.
Some people shrug their shoulders and turn away from the problem. The implications of the Bill are too serious to permit such inaction, as the delusions or fantasies of a few individuals will be imposed on many. Surely, it is better to help them gently to come to terms with reality, rather than trying to change reality to fit their delusion.
Transsexuality is seen as a privacy issue, until it comes to demanding benefits and coerced responses from the public. The important question that no one seems to care about is the rights of third parties, something that the noble Lord, Lord Chan, drew to our attention. It seems to have been completely ignored by the Joint Committee on Human Rights.
A man who has lived as a man for 40 years or so, has married and has fathered children can be deemed to be a woman, for legal purposes, by the committee. Surely, that is wrong. We should think about the effect on the children, the extended family of nieces, nephews or even his grandchildren.
Society can be rocked by this, even though, I am told, there are only about 5,000 transsexual people in our population of 60 million. Let us not ignore the effect on the many hundreds or even thousands of people acting in an official capacity who will have to go along with the pretence. Many of them will feel that their conscience is being profoundly compromised.
We should be looking for a way for everyone's human rights to remain intact. Not just those who want to 'change sex', but those who are expected to go along with the pretence. The GRA, embedding into law that people can 'change sex' was not the only possible solution, and I think it was the wrong one.