Well, although I have found a multitude of sites discussing the fibers from the American Doll (Molly) on the duct tape, I haven't found anything that states that LE investigated it---again, though, it wouldn't be posted if they did.
I did find this. Sort of interesting. I've heard about this angle before, but always brushed it off. As of right now, it is making a lot of sense to me.
http://www.geocities.com/pinker44/
Where would the case stand today if Burke Ramsey murdered his sister JonBenet? Would it be in limbo? The case is so public it can't be closed to do so would make his guilt obvious and it can never be revealed he was responsible. The parents can't even be charged with the easily proven conspiracy as to do so would again reflect on Burke's involvement. Any legal action on Burke's behalf such as the Ramseys have carried out would end, as they all have, in secret settlements, again to protect his rights. They can never charge John and Patsy because to do so exposes Burke. Burke's rights to privacy eclipse any other in this case. The rights of juvenile criminals supercede those of their victims.
In the ensuing years since the murder an enhanced 911 tape suggests the brother was not asleep as the parents contend. When confronted the Ramseys were forced to publicly change the sequence of their son's entanglement. A sibling is more statistically likely to have harmed JonBenet than any other person, parent or stranger. Sibling abuse is believed more common than husband/wife domestic abuse. It is usually just swept under the rug and has no statistical base. It is socially acceptable for siblings to physically abuse siblings. Many sibling injuries would be assault in the eyes of the law if inflicted outside of the family. From broken limbs to black eyes, there are no laws to report this type of injury. The police are the last person anybody would think of calling when a parent shows up in the ER with a son needing his head stitched up from an attack by a brother. If a stranger were to do the same the police would be involved in an instant. Harm from sibling abuse is given a pass afforded no other injury.
Famed criminologist Dr Henry Lee's esteemed opinion; based on forensic science not emotion, is a domestic incident caused a mortal brain injury. The strangulation and un-kidnapping were staged to divert attention away from what really happened and protect the person responsible for the head trauma. The case will likely never be prosecuted. To this day Pam Paugh has never been adequately questioned about the items she removed. Fact remains there were unsourced tan cotton fibers found at the scene that descriptively match the tan cotton fibers of the doll's cloth torso. There was an unsourced piece of duct tape on JonBenet's mouth and the doll company trained employees to tell parents to apply duct tape if there was a problem brushing the hair. There were unsourced dark blue fibers found on JonBenet's body and her shirt. One of the dolls removed comes dressed in a skirt of visibly shedding navy wool. The Ramsey's claim they'd never seen that type of duct tape. The DA claims there were no matches to the unsourced fibers in the Ramsey possession so they are innocent. How could they be matched up if the Ramseys were allowed to remove them from the crime scene?
For whatever reason, this scenario of Burke fatally injuring JonBenet with the head injury (accidentally) and the parents staging a coverup to protect him, AND LE and the DA following suit seems more plausible than the Ramseys being guilty of the murder. If Burke did it, LE are legally bound to NOT disclose that information, or disclose information that would even lead people to believe that. In fact, the above theory really explains many unanswered questions in this case if you think about it.