Sexism gives women a pass, because it denies their agency and denies the legitimacy of male vulnerability. Whether or not a given person is a feminist and whether or not they're a sexist are independent considerations, but I think we'd be remiss to suggest that there's never been overlap between identification with feminism and sexism, especially in some of the more adversarial contexts of gender-based politics. Not to say that you did suggest this, but it's a nuance worth highlighting when we see a conflation of sexism with feminism.
There is, also, a legitimate argument to make regarding patriarchy theory contributing sexism rather than diverging from it. That doesn't pin sexist standards on all feminists, but it does render feminism as an ideology in its most typical contemporary forms, I'd say, as generally less than neutral or wholeheartedly anti-sexist.