Kuklinski's over-the-top claims remind me of Henry Lee Lucas. He turned himself into police, claiming he'd been on a murderous rampage across America, killing several hundred people "in 24 states".
He claimed to be responsible for so many crimes, the police became suspicious. The cops began making up crimes and asking Henry Lee Lucas if he was responsible for them. He admitted to whatever bogus crap they threw at him.
Lucas and Otis Toole also claimed to be Satanists, be trained by Satanic cults to do mass killings, and other BS.
