If a parent takes them internationally, that goes into a different bucket in the FBI stats. (Maybe because of the convention? Since those get special handling.)
But if a parent takes them and they stay in the US, they will count as child abductions. Domestic family abduction is about 4.5% of the total in the US. Not the majority, but they do get the focus. What I mean by that is that if you look at Amber Alerts, about 58% are evoked by family abductions. So that's a huge asymmetry. 58% of Amber Alerts, but only 4.5% of missing kids. I think in the case of family abduction maybe you know about the abduction faster? So you report it faster? Not sure. I just always thought that was a huge asymmetry.
EDIT:
I just realized I didn't directly answer your question.
