Having actually been in the spheres which birthed both the manifesto and the black paper, this article is a joke. And it's not very funny. Firstly, linking both the blackpaper and manifesto as if they both are from the same vantage point can only make sense if you hadn't read them. It makes sense to have one page but they are very different from each other. My proposal was basically as neutral as you could get on how to describe both variants and its still really vague. They come from totally different traditions.
HOWEVER, neither is anywhere close to wanting to 'depoliticize' gender. One literally uses the word gender communism and comes from the Marxist tradition of Women as Class and applies this logic to the marxist concept of acceleration. The other comes from the landian/deleuze view which sees gender as a line of flight from capital. Neither cares particularly about discrimination being ended independent from other stuff, with the manifesto calling for Pink Terror and the blackpaper actually seeing discrimination as somewhat good in the hyper-sexist shredding way