"but I don't think that necessarily means that other cultures are all "worse"."
I read it as "certain cultures are much worse", which is true, particularly if you look at women's rights in parts of Asia and Africa, where in certain countries FGM is rife, girls are not allowed to go to school, women are not allowed to work, religion (again a large part of culture) dictates how a woman behaves, what she wears, how she will be punished. Of course, the religions are all put in place by men, the rules enforced by men.
This is from an Islamic forum
"Fear Allaah with regard to women, for you have taken them as a trust from Allaah and intimacy with them has become permissible to you by the words of Allaah. Your right over them is that they should not allow anyone to sit on your furniture whom you dislike; if they do that then hit them but not in a harsh manner."
"If a woman rebels against her husband and disobeys his commands, then he should follow this method of admonishing her, forsaking her in bed and hitting her."
islamqa.info/en/answers/41199/hitting-ones-wife