I don't think that's necessarily malicious. Sounds like those people may have a thing to learn about feminism as well.
It's not about being a "subsection". It's not a competition who's on top. It's about recognizing how these issues share a common core and many negative effects, and need to be addressed together rather than competing for attention. That's exactly what intersectionality addresses.
As far as I'm aware, the inclusive movement that focuses on male issues in a way that regards itself in cooperation rather than competition with feminism (after men's rights was successfully taken over by the right-wing) labels itself men's liberation.