I believe there are more valuable ways of spending time than fixating on and obsessing over definitions.
This doesn't achieve much in the way of value for anyone - we know for example that there has been no demonstration of detriment to women in the countries that have used more relaxed forms of gender identification for years now.
The moral panic has always been tempting for some - the creation of an easy adversary to focus on, the tropes used to stigmatise an entire group in the attempt to polarise people. The moral panic against trans people that we see presently is an echo of the moral panics we have seen throughout history against other minorities. It's a very unfortunate human tendency that is important to resist.
They follow the same format, they take an anecdote and repeat it, and present it as if it reflects the nature of a group as a whole rather than the actions of a single individual. They focus and accentuate the differences in the populations to create the in-group, out-group phenomenon that demonizes the other. They use catchy sound-bites to mischaracterise their target in the minds of others. It happens time and time again with both ethnic and sexual minorities.
The anti-trans sentiment is just the latest manifestation of an age-old human tendency.
This generally coincides with periods of economic instability in a country so we can probably expect these tendencies to get worse unfortunately, given the present economic outlook.
Lots of posters here purport to be lesbians (and yes I have to use the word 'purport' because how do I know? Same way it would be fair for anyone here to say of me that I purport to a lesbian)
There are plenty of studies and research out there that can be used to cast lesbians into the next target of moral panic. People wanting to do that will use exactly the same techniques, same argumentation process, will be singing from exactly the same hymn sheets as the present GC anti-trans debate employs. They will find the statistics to differentiate us, to dehumanise us, to portray us as deviant, problematic, predatory, criminal. They will take anecdotes and portray them as representative of us as a demographic.
When people go down this route and legitimise it with trans people, they are opening the doors to becoming the next target themselves, and they will not be able to resist because those who wish to demonise them will highlight that they are using exactly the same tactics that they themselves employed on another.