The 9th Doctor would still have all the memories of the Hurt incarnation, so the trauma would carry on. We see in Rose that he's only recently regenerated. It'd be weird if the 9th Doctor forgot all the stuff Hurt did considering he was Hurt probably a day earlier.
I agree with that. My only thought is that Moffat really should've just gotten McGann to play the role (if he was willing) rather than create a new "Doctor".