Patriarchal values can, at face value, seem contradictory but it all checks out.

Part of it is that we naturally have a bias to view men as "doers". We view men as more successful, yes, perhaps smarter. When we think doctor we think man, when we think lawyer we think men. Even in sex, we view men as having the position of "doing", and women of being the subject, and sex being something done to them.

But men are also "doers" of violence, of conflict. Women, conversely, are too passive and weak to be murderers or rapists. In fact, in regards to rape, because we view sex as something done by men to women a lot of people have the bias that women cannot even be rapists.

This is why we simultaneously have these biases where we picture success as related to man, but we sentence men more harshly in criminal justice. It's not because we view men as "good", no, it's because we view them as ambitious. Then we end up with this strange situation where being a woman makes you significantly less likely to be convicted of a crime you committed, and, if you are, you are likely to get significantly less time. Men are perpetrators (active) and women are victims (passive).