One thing I find interesting is that the staging...was very over-the-top. The R's could have dumped JonBenet's body outside, and claimed that some predator had kidnapped her from her bed. But instead they wrote a RN by some foreign faction who tried to kidnap JBR because of her family's wealth. They didn't make JonBenet out to be some randomly chosen victim who was spotted by a predator because she was in the wrong place at the wrong time...instead, she was specifically chosen because someone was jealous over her father's success. I can see how each of the parents might have had input into what exactly the staging should have been; Patsy would've liked how dramatic it was, and John would have liked that an entire faction from another country was jealous of how successful and wealthy he had become.
But if the R's wanted to, they could have claimed it was an accident, and they were rich, had influence, etc...They weren't getting arrested. But I don't think Patsy wanted JonBenet to be the victim of an accidental death.