It all seems plausible to me. I don’t see why anyone would lie about it. If they were going to lie about it, wouldn’t they come up with a story that makes them look better? They made themselves look like fools since the body was found just feet from where he left his car and it took them 2 days to find it.
The co spiracy theorist will state that the fbi are so smart that they co cited the story to make th3mselves look foolish in order to try to throw off suspicion. All part of the plan they say