(I also accept that some of these people actually believe this stuff maybe even having thought about it, but some people will believe anything...)
Clarity and consistency and definitions are good, I'm with you. But when there are many people abusing them in bad faith to deflect and wound it is also important to continue seeing the wood and the trees.
My friend with half the cells in their body male and half female would like not to be arrested if ever visiting TX and needing to take a pee. At least some of the people pushing this sort of law do not care about facts or treating another human as their peer at all, they have $$$ and votes to make NOW.
Thus it is important to put up clear examples such as the one in the story to reduce support for as Bill such as this from people who do care about facts and humans.