The reference to AA in Jamaica was only made to exemplify that (out of three) more than just one element needs to go wrong - and in a significant manner - for a runway overrun to happen. In this respect that accident report is like a box of chocolates. And if it were not for the contradictions there would be no excursion to report on.
On the contrary, from the little that is known, the accident in KLGA seems somewhat unusual as both the touchdown point and energy at landing look quite allright.