Hmmmm, I didn't watch all of BCS but I would say that's a shallow description of Walter White's character.
Walter White is a narcisistic genius filled with regret who latches onto a feeling of importance and power under the false guise that he's doing it for his family. He's broken bad not by circumstance, but by his own internal flaws brought out because of circumstance. See: 1:40, which is one of my favorite scenes in the show:
Conversely, Carol is narcissistic in ways she doesn't even understand, while also hating herself and bumbling anything she tries both out of incompetence and weakness of will. She's the biggest piece of shit protagonist in any show I've ever seen intentionally written and I love it.