Don't like Jaime's new found sainthood at all. Wish these characters were all black and white so one can enjoy it when they fall (the boy king being top of the list) and feel profound sadness when they fall (Ned Stark). These shades of grey complicate things
It's strange that you should love Game of Thrones because if there's one thing to love about these series, it is the complete absence of black-and-white characters (apart from maybe Joffrey... and the bastard of Bolton I guess).
*STILL SLIGHT SPOILERS*
Personally, I don't think Jaime becomes a "saint" at all, I only think that from the moment when he starts being a POV character, you begin to see him in a totally new light. It's not that he suddenly goes from "bad" to "good", it's just that the perspective changes, both on his future acts, and on his past acts. Then, of course, it's true that he does change, but I don't think he becomes "better", he only becomes more clever and stop being manipulated by other people. This I like very much.
In the same way, as soon as characters like Jaime (or later, Cersei) become POV characters, you stop seeing Ned as a saint, because suddenly you see his actions from the adverse point of view. I think that's one of the most fascinating aspects of the books.
Who knows if even Joffrey would have become somewhat likeable if he had been given some POV chapters as well?
Maybe those things appeal to me, because they reflect so well how, in reality, communities with different points of view will construct diametrically opposed visions of the same historical event.
You can see the same phenomenon in GoT, for instance, in relation to the "Kingslayer" nickname.
The Starks and many others see Jaime's killing of the Mad King as a vile act of treason: he killed the man he was sworn to protect. However, from Jaime's point of view, this is totally unfair: as far as he's concerned, he saved the people of King's Landing from the Mad King's folly and therefore should be regarded as a hero. And the others who look at him with disgust are just hypocrites, since they were very happy that he'd killed Aerys but pretended to be appalled...