I believe Burke was the "molester," if it could be called that. I have no proof he would "act out" in this way, but apparently visitors to the Ramsey home reported catching Burke and JonBenet playing "doctor." The Globe, which I realize is a tabloid, reported this, but so did Ryan Ross, who is a Denver-based legal affairs expert and author of crime-related articles who's even appeared on Nightline as an authority on legal matters.
Linda Hoffmann-Pugh said she sometimes found JonBenet and Burke in Burke's bed together and that she thought from the way they reacted when she walked in, that they were engaged in sexual play. She also said that once, when she walked into one of their bedrooms to put clean clothes into a drawer, Burke and JonBenet were in a blanket tent on the floor, and Burke yelled for LHP to GET OUT! She said she suspected something naughty was going on in that tent. None of this is proof of anything, especially that Burke killed JonBenet, but I don't find it hard to believe that 6- and 9-year-old siblings would play doctor.
Years ago, some posters at Justice Watch whose kids attended Burke's school said that around the time JonBenet died--before, I think--kids at the school were playing choking games. I don't know if the games were erotic asphixiation games or whether cords--or hands--were used. As far as I know, BPD didn't investigate the matter. Maybe no one told them, or, if someone did, maybe the BPD didn't bother to investigate. Why would they? The police never considered Burke a suspect in JonBenet's death.