That definitely seems to be where in the show she veered into actually being somewhat good at the game. I don't think she will in the books at all. And logically it doesn't make much sense either. You're either good at it like Tyrion and Tywin, or you're not, like Robert Baratheon and Cersei. Shortsighted, vindictive and envious. Even now in the end, I would argue that she has still largely rode the coattails of others and lucked into much of her good fortune. She is essentially an adult version of Joffrey now. It's just kind of annoying, as amazing as Lena is.