I never really got the sense in the animated film that the Amazons hated men. It was that they distrusted them. In many ways, they weren't wrong and the film did a good job in expressing the disparities that women still face in the real world. The scene with Etta emphasizes the realities women face within the world of love and sex. They are expected to be passive and weak in order to pump up the man's ego. There have been a great deal of studies which support this. For instance, in the work place men are more likely to find women who have little to no power sexually attractive. In other words, they go for secretaries and interns rather than CEOs and VPs. Another standout scene was the one in which the little girl was excluded from playing with the little boys due to the fact they felt the little girl needed to be playing the damsel in distress. Despite living in an era where Angelina Jolie kicks ass on-screen all the time, there is still the perception that women aren't viable action heroines and are there to be saved or governed by men. We need look no further than The Dark Knight Rises for an example of this. While Anne Hathaway kicked lots of ass as Selina Kyle, she was ultimately a figure meant to be controlled by the actions of men. First she is controlled by Bane and then by Batman. She is ultimately never freed by her own actions but by the help of Batman. We also see how a woman who does have power is punished for it. Miranda is ultimately undone because she is a woman holding all the strings but is killed off due to her inability to play by the rules of men.
I think the animated film dealt with a lot of inequality women face in contemporary society. While it had its faults, it's still the best adaptation of Wonder Woman to date. It didn't quite capture her heart the way the cheesy Lynda Carter series did but it at least portrayed her as someone with agency and intelligence.