Apparently this is an unpopular opinion among feminists. If feminism is about equality for everyone, it needs to address that. As an example, LGBTQ+ was extended many times to cover everyone in the community, and that’s the right thing to do. There isn’t just L and everyone repeats “Oh! Lesbians are for rights for everyone, no need to update that”
I don’t know what the new name should be, but it should cover gender equality for everyone.
I think the word for that is gender egalitarism or gender equality. And depending on how you define Feminism, feminism is just a part of that. Or maybe not if you define it another way. Feminism has had several waves and comes in different forms, so the entire term is vague.
I think it kind of depends what you’re trying to convey. If you’re talking to a feminist and aren’t aware modern societies are patriarchal, and now badly this needs to be addressed… but you start an uneducated conversation on equality and how men need to be factored in, too… You might be technically correct, but you’re not going to make friends. That’s kind of dismissive of what they focus on, and showing you’re not really equipped to recognize the issues they might face.
And the difference in my definition would be mainly focus. Feminism might be part of gender egalitarianism for most people. It’s just the part that necessarily advocates for just treatment of women. Everything else might come on top, fighting for other people too, or hating them… That’s just beyond the definition.