Okay, without being a ME or a forensic anthropolgist, we can exclude vultures, most wild canids (not sure about foxes there), jaguars (of the animal variety), lions, and other big cats on Long Island. Also bears appear unlikely from the start. That leaves us, given the area, with mostly smaller birds up to gull, rodents and of course domestic canids. Now, I agree., you could see their work in the tissue ... wait, what tissue? We talk skeletal remains here. So if there was ever any of, for example, y-shaped puncture, it is gone with the tissue. Rodents leave parallel furrows on bones, true. And expescially on the bones they take away and sometimes the neighboring bones. So probably the mssing bones have a lot of those marks ..., well, unless it was a gull, they leave no teeth marks at all and the don't rip like vultures do. But then, I can imagine, they found rodent teethmarks on the bones anyway. On the bones they found. Which probably proves the existence of rodents in the area. But of course, without the missing bones, it doesn't prove what took them ... so ... nice article and probably useful in a case in which you have more than only skeletal remains.
Also, the hyoid bone is the only "floating bone" in the human body. It's not attached to any other bones. So it would be the easiest bone for a small animal or bird to remove without a lot of damage to other bones.
Caylee Anthony's hyoid bone was never found either. Since it isn't attached to other bones I suspect it's common for it to be missing when a body is fully skeletonized. Of course I'm not sure if that's true. But it makes sense to me.