I agree, but I think the 10th Doctor struggled with alot of that as well through his tenure. It was not the extent of the 9th though being fresh out but he had more of that war guilt and such than the 11th.
Yes, 10 did have all the PTSD from the Time War that 9 had, as I recall it was his time with Rose as his companion that helped him overall.
11 had somewhat moved beyond it, but as we see in Day of the Doctor when he and 10 and War Doc are in the Tower cell, 11 still very much remembers the casualty count of the war and what was done. But 11 was more concerned with what he was going to face on Trenzalore.