I suppose there's the possibility that, mindful of the amount of publicity he'd have to do for GoT (not to mention all the other stuff he's got coming out soon) , he actually made an effort to get some coaching to help in those sort of situations.
On the other hand, he could just be really relaxed, having got divorced and a certain loose cannon now being out of his life. Some of the worst shuffling, mumbling, not making eye contact reported by newwspapers was during the press stuff for Red Riding which was not long after the shenanigans at home where the police were called (the major one that attracted all the press interest).