What cracks me up about the they/them pronouns and the assertions of boyishness (usually justified by mentioning that she reads sci-fi, which of course women and girls are banned from doing)... I find it hard to think of anyone less androgynous, never mind masculine, than Laurie. She's tiny, and her style and mannerisms are all extremely girly.
I think what she means is that she's not like the other, boring girls.
It's a bit cheeky, though, to insist that she's not a woman and then to write columns and books (well, collections of blog posts) setting herself up as an authority on feminism, and telling off women who know what a woman is for womaning wrong.
It's a bit like if Ta-Nehisi Coates went around claiming that he's not black, except when he's got a book out on the state of Black America.