To me it’s all about enjoying the books. The fact that these books are made into movies (usually very subpar to the book) that folks want to see is fine, but I don’t really even think about whether it’s a female or male protagonist or about them being somehow dangerous. I’m not clear as to why anyone would view them as dangerous.
The idea is that having females fight with males in these kinds of books and movies is a dangerous contortion of reality and leads to the degradation of our culture and our Judeo-Christian ethics. I have heard that said here more than once about movies/books/tv shows like the Hunger Games, Buffy, NCIS and cop shows with women as officers.