Perhaps we have received different information on this topic. I am curious why you disagree though, as I consider my perspective to based in verifiable fact.

For example, in the UK, it was Theresa May's right-wing Conservative government who planned to reform the law to make it easier, and with fewer medical requirements, for people to acquire a Gender Recognition Certificate. They had a public consultation too. This move was supported by the left-wing Labour Party.

And in recent years, legal action and advocacy by feminist groups has been a highly significant factor in policy changes around this area, most notably For Women Scotland who took their legal challenge all the way to the UK's Supreme Court, winning the case with a statutory reinterpretation of the Equality Act.