Here is a question to ponder. These people have tremendous resources available to them. Money, technology, real estate, currency, and security. I am quite certain they have the ability to clone a person and have probably done this on multiple occasions. With this being noted, why would they go to the trouble to have to kidnap children for their sick games and needs? The head people do not do the physical kidnapping, so they have to contract that out to lower level operatives which increases their exposure to discovery and prosecution. Then they have the transportation issues after the kidnapping which increases exposure again. Why take that risk?
They could clone them and do whatever they desire with the clone or they could readily farm them with paid volunteers. Why the need to kidnap them?