It basically comes down to common sense and being a decent person: the owner of the body is the only one who has the ultimate right to decide what they want to do with it. You don't have to deal with the consequences and they do.
You didn't save that "jumper"'s life, you ruined their death.
"Pro-Life" is just as much of a euphemism for anti-choice when you're talking about rational adults as it was when you were talking about six week old zygotes.
So don't be an asshole.