His physicians said he was a very sick man not likely to live much longer in any event.
Interesting, to which I'll add the following: rather than his son's death, do we know for certain that Hamilton was not dying of something else such as...let's say...syphilis? We know for a fact that he was a serial adulterer. And we also know that Hamilton paid a Reynolds thousands of dollars for access to his wife, so he obviously had no problem with prostitution. Combined with his well documented mood swings and mental degeneration leading up to the duel, I don't think we can rule it out!
While rumor may suffice for your condemnation. I have seen no real evidence of any “serial adultery”. There is only one confirmed affair - the Reynolds one.
Certainly had syphilis been involved Jefferson’s attack dogs would have discovered it. Not that they had any problem with spreading falsehoods by the ton.