"I REALLY don't understand this statement. What difference does it make to the killer whether it was the head blow or the garrote that killed her?"
ANSWER:
"but the explanation is that the garotting is staging. It's diversion, subterfuge, a red herring, it's meant to confuse the situation, a deflection, a redirection - a way for the perpetrator to alter the scene when some evidence cannot be hidden or gotten rid of."
"But why would anybody think it would work? Like the authorities are not going to do a full autopsy when a child turns up with a garrote on her neck and a paintbrush in her vagina? Puleeze!!! That fracture was bound to be discovered!!!"
The idea was not to hide it. The idea was to confuse the issue.
"I cannot believe that the garrotte was intended to avoid detection of the head injury. It just doesn't make sense to me."
That's because it wasn't. It's not that hard, luthersmama.