I think the backlash comes more from the good guys who are boringly good--the ones who, like machines, make every decision in a predictably noble way, as if by programmed code. We can still have morally "good" characters that are interesting and can make interesting decisions and surprise us and all that. That's why I don't think the Starks really fit the bill for being boring, so I don't see why there's backlash against them, to be honest. (alright maybe ol' Ned can be boringly good sometimes, but we all know how that ended for him).
To elaborate, I'm talking about the Superman-esque good guys who are completely flawless, saving kittens from trees and rescuing hostages from evil bad guys, not killing innocents, yadayadayada. That's boring. That's predictable.
You can still have "good" characters who aren't boring. There are good characters who aren't boring--plenty of them. Tyrion Lannister, if we're talking game of thrones still. Or maybe Geralt from the witcher, or even Han Solo. (there are loads more but I'm lazy)
The only thing that can ever go wrong with any character is if they are boring. If people hate them for any other reason, there's nothing wrong