Rad fems are not so much "hating" others for "doing feminism wrong", but criticising libfems for not doing feminism at all.
Back in the day, when I was young and thought the world could still be saved ... back then, actual feminism was just called feminism.
Nowadays, you have to put a "radical" in front to show that you actually do actual feminism, you know, for women. The kind with vulvas, not penises.
Conservative women who support the Nordic Model are more feminist than libfems who call prostitution "sex work" and claim that it is empowering.
Feminism is about wanting to do something for women.
If I tell someone that I don't think outlawing burkinis will benefit Muslim women, then I tell them that they are doing feminism wrong.
If I tell someone that I don't think having your husband bottlefeed your baby while you work 10 hours a day is a thing women should strive for, then I tell them that they are doing feminism wrong.
But in those cases, those people actually do feminism. They want to improve women's lives. I may just be of the opinion that they are doing it wrong.
Wanting to centre males, and calling porn and prostitution - things created by men, for the benefit of men, that harm women - "empowering" is not feminism done wrong, it is not feminism at all.
If prostitution were empowering, women would be plenty empowered by now, after at least 3000 years of it.