It is a great misconception that a child abducted by a parent is a "safe" child.

Parental Kidnap, a severe form of parental alienation, will not only devastate the parent victim, but will also leave the abducted child emotionally and psychologically scarred.

Ernie Allen (NCMEC) writes in his report:
Therefore, I submit that the abduction of children by family members is a large and serious public-policy challenge, and a threat to the health and safety of thousands of children. Yet, we have not begun to mobilize real national attention, nor attack the problem with real seriousness of purpose. “THE KID IS WITH A PARENT, HOW BAD CAN IT BE?” The Crisis of Family Abductions

Dr. Amy Baker speaking about the “Cult of Parenthood”
There were five primary manipulation techniques:
(1) relentless denigration-or bad-mouthing-of the character of the targeted parent…
(2) creating the impression the targeted parent was dangerous and planned to hurt the child…
(3) misrepresenting the targeted parent’s feelings for the child in order to create hurt…
(4) withdrawing love if the child indicated affection or positive regard for the targeted parent…
(5) erasing the targeted parent from the life and mind of the child [parental abduction]… Consistent with thought reform techniques as described by psychiatrist Robert Jay Lifton (1969), these five techniques create “psychological forces within the environment that penetrate into the inner emotions of an individual.
ADULT CHILDREN OF PARENTAL ALIENATION SYNDROME

Dr. Dorothy Huntington says of parentally abducted children:
“The children become "emotional dishrags" because the perpetrator tells the child that the parent victim doesn't want them anymore, doesn't love them anymore, that the parent victim is dead, or may be getting married and doesn't want them around.”
PARENTAL KIDNAPPING: A NEW FORM OF CHILD ABUSE

Dr. Ludwig Lowenstein says:
"Alienating parents will over-state or even create vices such as: 'He's an alcoholic, drug taker, womanizer, has no sense of responsibility, drives dangerously, etc.' All such statements and many more, are repeated to the child continually."
PARENTAL ALIENATION