The cord roll and tape roll, from which the ligatures and mouth tape originated, were not found at the crime scene. The cord or tape were also not found used in any legitimate application in the house. This has the appearance, on the surface, that the cord and tape came and went with the killer. An intruder taking the rolls with him, while leaving the ligatures and mouth tape, would have a criminal explanation: There's less risk in taking, and not leaving, the rolls because its easier for investigators to pinpoint the point of sale. There's less risk in leaving, rather than taking, the actual ligatures or mouth tape because it could link them to the murder. When you consider the fact that killing a 6 year old is risky, and the killer has yet to be identified, its easy to conclude that no matter who the killer is, he's a risk-taker, that dealt with the risks to avoid detection. The killer decided at some point to leave the ligature and mouth tape, and take the rolls. This has the appearance of someone minimizing their risks. Since both the cord and tape have an obvious criminal application, and since neither were found in a legitimate use in the house, it seems far more likely that these items were brought for the purpose of murder. It does not appear that on-hand items were grabbed to help make an accident look like a murder. Neither the cord or the tape appear to have been on-hand items in the house.