Burr was a slimy, smarmy, nasty CYLMER of the first order; not to mention a political opportunist, backstabber, and all around hateful cur. He and Hamilton were NOT friends.
V.P. Cheney and the man whom he accidentally shot are friends, they aren't political RIVALS, they were hunting quail together, and this wasn't a duel to the death; it wasn't even a duel.
Thank you for posting all the differences - those differences are exactly why I started this thread - see above.