To answer your questions:
Maybe men legitimately don't like shows that are aimed at women, and they're more vocal about it?
I think that's a fair assessment.
I wouldn't say its wrong, but I would say its not helpful.
Are men supposed to simply sit down and keep their opinions to themselves? What's the hope here?
I'll answer these together, starting from the base assumption that men are watching these shows with their wife and/or girlfriend.
The rationale here is that you as the guy have a deep affection for the woman in your life, and want her to be happy. She enjoys watching this particular program, and for some reason she also enjoys your company. I'm sure she's made sacrifices for you, such as watching a movie or show you enjoy that she didn't care for. It's all part of the give and take of life.