No it really doesn't. There are no legal consequences for insulting someone, unless you actually defame them. Nearly all defamation cases are dismissed by the court immediately for not rising to the very high level of facts required for defamation.
Less relevant to this case, intentional infliction of emotional distress and negligent infliction of emotional distress can also both be against the law in the United States.
But we all know the precedent set in this case was a lie. Otherwise anyone who said the kids were really killed would have standing, since Jones thought they were "crisis actors."
We all know this was really used as a back door way to pay the parents for dishonoring the dead. Basically "meh we can't extract justice from the murderer, best we can do is get a lot of money from someone with mutual hate."
Edit: s/precedent/historical precedent/ . I did not mean to imply as assumed below this precedent is legally binding.