There are several different word for equality. I find I tend to use parity a lot, because awkward people love to think equal means the same. They probably never moved in their intellectual development from "three plus five equals eight".
Anyway, feminism's about women having equal value - social, financial, relational, governmental, in every way - to men. Women's bodies are very different to men's, obviously, and there may be some sex-related differences in behaviour too (endlessly debatable). The main factor is reproduction. Women are the sex that gestates, births and feeds human young. This doesn't mean it's all we're good for, only that the female sex's reproductive capacities make us very different from males.
A societal value system that is built around male bodies, male qualities and male normality cannot value women equally because female reproduction is not part of that system. It's alien; often seen as inferior. Therefore the WHOLE THING needs to change before both women and men are valued equally, considered equally valid and treated with full respect.
So ... that's what feminism is for. This terrifies a lot of men and, because women are afraid of men to some degree, a lot of women mirror that terror. Hence recurrent versions of 'feminism' attempting to frame women through the male perspective - as fragrant housewives, willing sex objects, adoring servants, etc - and merely demanding respect for that role. The same type of woman can be heard insisting TWAW for the same reasons: she's scared of upsetting men and hopes to gain preferential treatment by parroting their opinions.
All of these variations on feminism are logically inconsistent. The only way to achieve true parity between the sexes is the hard, slow way, knowing a lot of men are going to get pissed off.