IMHO, it was indeed fortuitous for our young nation that Burr removed both himself AND Hamilton from the political arena at this stage of our development.
I have often thought the same thing.
From what little I've read on this Burr was suprised that the duel destroyed his career.
Burr and Hamilton were similar in that both suffered overly-ambitious delustions of egotistical grandeur. It's not surprising that they clashed and (fortunately) canceled each other out.