Yes. And probably. The end goal is for trans people or anyone who doesn’t neatly fit the binary to be harassed into the closet.

I don’t get where do they see the accomplishment in defining “woman” as “biological woman”

It just seems like a mental-gymnastic pseudo-intellectual way of just saying “female”. It’s a weird coping mechanism to try and handle the idea that a feminine gender (woman) doesn’t have to match to a biological sex category (female). And yes, you’re right, biology is complex and doesn’t just have two neat sex categories in humans.