Knives, phone cords, ties, socks, ropes, tape, ice picks, bottles, guns and other items used to murder people are taken from the very homes the person is killed in time and time again.
Also, as for the Ramsey's lawyering up, they got a lawyer involved when the PD refused to release JonBenet's body for burial. The PD also had to admit that even though there was a laywer involved, the Ramseys continued to cooperate with the PD including taking lie detector tests, DNA samples, blood samples, hair samples, hand writing samples etc. The Chief of police from Boulder specifically stated that the Ramseys cooperated during the investigation for months and reports that they were not coorperating were false.
Explain the unknown DNA sample that was found in JonBenet's underwear that is still being run through CODIS without a match.
They did *not* take lie detector tests for the BPD. Or even the FBI. I'm not going to attempt to explain the DNA, as I have my own theory on that and we don't know enough about the mystery sample to conclude anything.