You are absolutely right in theory, but the way it works in practice make feminism very much a religion. There are prerequisites beyond wanting gender equality. This is why I think its time to abandon the term. Let the wing-nut thought policing collectivists have ‘feminist’ and all of us who believe in actual gender equality (and the agency of women!) can gather under another banner, like egalitarian or equalist or something.
I certainly don’t want to even be associated with the insanity that is 3rd wave ‘feminism’