The label is important, though, because as long as we call it all feminism, any conversation that does not explicitly target women audience may be maliciously hijacked. I've seen this happening in the wild a lot - people arguing that we steal feminism when talking about issues from another perspective.

Also, speaking of intersectionality, isn't it weird for it to be a subsection of feminism again? Intersectionality commonly includes issues of race, disabilities, transgender individuals, and so on, and as such, men along with nonbinaries who struggle on each of the axis may not get adequate attention and representation under the umbrella of feminism, as again, it's "about women" (it kinda is).

To me, antisexism should cover feminism, masculism (a term recently hijacked by bad actors, but initially coming from the same place as feminism - equality for all, focus on instances of male discrimination), a movement of nonbinary people.

Intersectionality should go above feminism, and above antisexism for that matter. It is about all struggles of all groups of people, and ultimately stands to cover it all - antisexism, anti-racism, trans inclusion, inclusion of people with disabilities, etc. etc.