I'm just taking a couple stabs here since I don't know what any of those acronyms mean, maybe it has to do with being able to send/receive gifts as part of the friend system? When gifts are sent their exact location is included on the post card, someone with less than golden morals (to put it lightly) could compile that information and track where the kid is at on a regular basis?
Since it's through PTC, maybe they have their own restrictions regarding under 13's that are carried over into PoGo? There could be something in PTC's ToS that prevents under 13's from participating in social aspects. If that's the case, it's out of Niantic's hands and more in the hands of PTC. If I'm guessing correctly, those acronyms are likely about sharing data with the company providing the service, not with other users. Do you know if under 13 accounts linked to a Gmail or Facebook suffer the same restrictions?