That's very interesting, it certainly fits this case perfectly. This crime definitely seemed highly impulsive, and it didn't make sense to me until now (not knowing much about paedophiles) that a seemingly normal bloke, with apparently no history of child molestation, could suddenly abduct a little girl. It all fits now, there can surely be no other motive for a man to do something as criminal as to abduct a 5 year old girl. It was a very risky move for him in a quiet town, where everybody knows everybody, so I think he must have had the urge, acted upon it, panicked and killed her. She knew him, she was easily accessible, he had been going through a time of stress, but was not usually a paedophile. Now it all makes sense.
On the previous pages there has been a long discussion about how much the police know etc. I personally believe that he's an unsophoistacted, impulsive man, they've been questioning him relentlessly and he's cracked and given them some information. He was probably shocked by how quickly he was caught, and also at the crime he'd committed in the first place.