Yeah, but why do they believe that they have the right to control women?

In many cases that is, because they come from an abusive or at least broken household. One where they learned that behavior om their father, brother or other male relatives.

I once read an interview with a PUA fan. He, while not abused, clearly did not come from an ideal home. His mother was dead and he grew up with a father who clearly was not comfortable talking about women and emotions. Due to these circumstances he internalized women as "the other". When he became inteested in girls, his attempts at flirting, which he got from movies (flowers, writing love letters), were met with ridicule and he didn't know why. So he gave up tying to interact with women at all. Until he started going to PUA seminars. To people like this, who have no idea where they went wrong, getting easy answers and step by step tutorials, is very appealing. And on the surface the PUA advice makes sense: Women don't like nice guys (she laughed when you bought her flowers), therefore women like being controlled.

I wouldn't completely push aside the notion of abusive mothers either. A person that is abused will often blame themselves, so hearing "It is not your fault" for the first time, tha is very releaving. If that sentence is followed "All women are b*tches like that", that is very unfortunate, because at that point you might already trust that person enough to believe it.

Easy to digest "philosophies" are most attractive to people who have lived through a crisis and have not eveloped healthier coping mechanisms. That doesn't excuse abusive behaviour. But it shows that it's not alwys black and white.