I'm just going to say it, I love Lollipop Chainsaw. It's easily dismissed as ditzy and embarrassing but has more going on in its head than many give it credit for. I'm not suggesting anyone give a free pass to a game with an achievement for trying to look up the main character's skirt. There's plenty of fan-service and rape innuendo here, and I'm not telling you to like it. But I am suggesting there are other things worth talking about.
One of the things I find particularly interesting is Lollipop Chainsaw's use of gendered insults. Criticism of Batman: Arkham City drew a lot of attention to this issue, and Lollipop Chainsaw can easily be put in the same basket. The difference, I think, is that Arkham City didn't expect anyone to notice. A word like "bitch" is seen as a natural part of that setting. I doubt the designers (or most players) thought too hard about it, and that's what makes it so insidious.