this is actually a really interesting point.

Gender identity vs Gender equality.

I guess the authorities might find themselves in the position of having to judge the authenticity of a gender identity claim, something which they would not want to do, so I suspect they would wave any claims through

Unfortunately this is already happening in the UK, for example: https://archive.ph/dM4D0

It really does make a mockery of the struggle women continue to have to achieve equality in this still largely male-dominated area.

I suspect no one anticipated the identity could come into tension with equality in this way, but in hindsight it seems obvious and inevitable that it would. We probably will end up abandoning gender categories altogether, it seems the only possible step forward