I think the issue is that when a movie with a male lead fails, everyone knows it's because of a bad script or whatever. But when a movie with a female lead fails, studios assume it's because female leads don't work. But that's wrong, they obviously do. The problem with bad movies with female leads stem from the same issues as every other movie -
a bad script.
When many screenwriters write women, they assume that all women want is to get a man or girl power I hate men rawr. The best films with a female lead don't fall into either of those traps. The women, like their male counterparts, find themselves in extraordinary circumstances and we watch them struggle to get themselves out of it. That's
compelling no matter what the gender of the character. The only difference between a male and female lead is what they can physically do, because watching a woman beat her chest being the alpha male is just too unbelievable even for most action movie fans.
And yes, Peeta is maligned as the "movie girlfriend" in CF but he didn't sit around being completely useless or scream for help. He held his own, even if he talked about his feelings and was willing to sacrifice himself for the main character. I found it refreshing how they played with movie tropes but didn't turn the characters into complete caricatures. That takes a brave screenwriter and a brave studio to get on board.
Because what the big studios want is formula, which means tired scripts and caricatures for characters, which means female characters are usually written lamely. It was just our luck that Hunger Games didn't have such tacky tropes and it was a bestselling book series, and the book sales were what Hollywood looked at first.