The Rapture angle is new, but the problem is very old, and has caused a lot of people a lot of grief.
It relates to a difficult question as to what someone's resurrected body will look like. If you had an arm cut off during an accident in childhood, would your resurrected body have an arm or not?
In 19C England one of the fears of the poor is that their graves would be opened and the bodies stolen for dissection purposes - there's a rather good book, "Death, Dissection and the Destitute" studying this issue. You see if the body was dissected, then it would not be resurrected. I believe that if someone died in an accident then it was important to gather up any bits and bury them with the body, so that they could be resurrected whole.
And now? This question still worries some Christians, who won't tolerate blood transfusions for that reason. The idea is still powerful elsewhere.
In Israel there is a highly-respected and government endorsed organisation popularly called "Zaka", whose website explains,
"In the chaos, they administer first-aid and guide Magen Dovid Adom ambulance crews to the most critical victims. It is a bone-chilling experience. Many ZAKA volunteers have had the unenviable task of cradling a dying child in their arms or a severely maimed victim crying for help.
As ambulance sirens fade into the distance, they begin the grisly task of gathering limbs that can be rushed to the hospitals and reattached; and body parts, blood, hair and whatever remains of the victims (Jew or non-Jew) for proper burial."
Yup, they soak up the blood and collect bits of skin for proper burial.
No more grisly than forensic pathologists, of course, but battier.
