glassfembot:

Neither binary or nonbinary.

Nonbinary identities tend to overwhelmingly be defined in relation to man/woman genders. Being both, neither, fluid, androgynous, in between, demi-guy/girl, etc. 

Anonobinary identities are defined as entirely separate, such as maverique, aliagender, aporagender, and others (some culturally specific).

Throughout history and cultures there are genders understood as being nonbinary (as relating to above definition) and others with genders that are entirely autonomous and independent of conceptions of man/masculinity/woman/femininity.

I’m not saying the above definition of nonbinary is THE definition, simply that it is so commonly framed that way (I’m sure you’ve heard “gender is a spectrum” as an example). So having a word that is explicit in separating identities from this framing of gender seems pretty cool/useful to me.