There are those who passionately uphold the abduction theory despite the terrible odds against an abducted child surviving. It may be understandable for parents to hope, but the uninvolved must realise that it's not likely to have a happy ending.
Abduction by strangers is rare, but who does it? Statistically men commit most stranger abductions and 89% of the time they abduct children over 5 years of age. Often the desire has developed over time, so there may be some background offences. There is the impulsive abductor who is likely to be poorly educated, isolated and bad at planning. He is looking to connect and may think the victim will have a relationship with him. The planner is better educated, possibly married, but with desires he can't satisfy in the normal ways. He is ruthless and interested only in his own satisfaction.
Around 50% of stranger abductors assault their victims sexually and 88% kill within the first 24 hours.
http://ripleeforensicpsych.umwblogs.org/2011/12/15/child-abduction-a-theory-of-criminal-behavior/ Child abduction only makes up 2% of all violent crimes against children and juveniles
So if 2% = 20 children then 10 of those will be family abductions. 5 will be acquaintances and 5 strangers. Of the stranger abductions 89% of the victims will be over 5. Few of those taken by non-family members will survive unscathed and the odds are that the child will come to serious harm.