An axe doesn't weigh that much. Surely you have used an axe during your life. Even a large axe doesn't weigh more than 2 kg. If she had thrown it out of the window when Angie wasn't directly in front of the window, I very much doubt the other girl would have jumped in its way to get herself killed. Aside from the willingness to kill she was a much lousier fighter than Chiko, anyway, so without the axe Chiko could have played around with her at her leisure.

And obviously we will never know what would have happened with the others had Chiko dealt with Angie sooner. We had a few scenes of her very succesfully fighting against her buddies in mock fights and then we had those scenes of her putting up a good fight against the mafia guards at the hotel where they stole the jewel. She might have made a difference and actually saved somebody's life. After all, she would have been coming from behind.

Well, all that just proves Twenty Faces made a correct choice to choose this moment to begin her independence training. She could use a harder and more decisive character.