I suppose if one wanted to be srs about it (not that I'm advocating that), it actually makes sense that Eleven deals with it better. He's the one who can benefit from the learnings of The End of Time -- yes, the Time Lords really were that evil and really did need genociding. So he's got some closure on the Time War, and when other races make the mistake of valuing themselves at the expense of others and end up doomed as a result, he can shrug and move on.