More or less. Even if you make that argument that the New Covenant makes everything in the Old Testament irrelevant, I think Paul place a lot of restrictions on women.
Also consider fact that the traditional marriage vow is to "honor and obey" husbands, without the same obligation expected of men.
All the Abrahamic religions treat women as chattel in their most conservative, orthodox strains. It's not terribly surprising, considering that the Torah, Bible and Koran were written at least a millennium before feminism. If you expect everything in them to be taken literally (let's ignore the picking and choosing that usually happens), it's not surprising that there's going to be misogyny.