Suggesting that trans women are missing out on the same rights as women, implies that women have enough rights in the first place. They don't. Nowhere near enough, yet. Hence needing additional protections that men don't need to have. That's not a privilege we have.
On that basis, I'm honestly, genuinely, not entirely sure what "equal" footing trans women are looking for? To be treated as equal people? Or to be treated as women are treated now?
If we were on an equal footing with men around the world, we wouldn't need the protections we continue to fight for. Women want to be treated as equals, nothing more, nothing less. It's our biology that has men treating us less fairly, so I find it difficult to stomach being told that men's biology is causing them to be treated less fairly because they have the biology that automatically puts them at privilege, but they feel/want/believe they should have the biology that puts them at a disadvantage and thus they are more disadvantaged. Or something..... This whole topic makes my head spin. 