Again, though, the family in that link are trying to deny not only gender (which I understand), but sex (which I don’t).
If asked, I would say I class myself as non-binary as I reject gender as a social construct. However my pronouns are she/her because I am a biological female.
I’m actually totally puzzled about why this has become so obscured and debated. People can hold whatever gender identity they choose, though there should be discussion around children’s capacity to make this choice and perhaps around where the roots of these feelings lie. I respect people’s individual gender identity, whether that’s masculine, feminine or non binary. But biological sex is just a stone cold immutable fact. And where there are clashes between gender identity and the rights attached to biological sex, why should there not be open debate without fear of punishment or harassment?
I just don’t know what to say any more.