Ra's never trained Bruce in the comics, but that was one aspect in Nolan's trilogy I really liked. So here in my version of the character for "Gotham Crusaders" (my dream Batman show I hope to make one day, but most likely never will), we get the Arabic mastermind who lived for thousands of years from the comics and animation, and the ex-teacher/trainer of Batman we got in "Batman Begins."
It's still cool to me. Just as Ra's faked his identity with the alias Henri Ducard, so also did Talia fake her identity with the alias Miranda Tate - I really liked that parallel with the first and last movies of that trilogy...revealing Bruce's faulty assumptions about his friends and foes. To me, the use of the name Henri Ducard was more of a namedrop for the fans, and a way to mislead us. I've found that with The Dark Knight Trilogy, it's best to see it as it is, and leave all the preconceptions we might have as Batman fans. It's a great story, and everything makes sense - unfortunately, it's not necessarily the Batman we know from the comics, nevertheless still Batman.
With all that said, I think the biggest change from comics was that Bruce was actually in the League of Shadows (Assassins) before becoming Batman. That part of that trilogy I really liked, and hope will be a part of the standard Batman origin.
Unfortunately, it doesn't seem to be yet. At least, not in Scott Snyder's Batman series and I haven't seen any mention of it in Dark Knight or Detective Comics either. There's been mention of the two of them, but so far no League of Shadows affiliation, other than the fact that Talia controls them.