Then, I'm not sure what your assertion is, or what "paperwork" you believe Barack Obama was expected to file with the INS.
Barack Obama returned to this country while still a minor child, and under the guardianship of his citizen-parent. Obama, per US Statute 8 USC § 1481, has no obligation to do anything to either reaffirm, or maintain his US citizenship.
Whatever the status of his adoption, and whatever the status of his alleged Indonesian citizenship is plainly irrelevant to his the status of his US citizenship.
I have those statutes, and am unable to find the statute I referenced, but there’s one out there, and I’ve read it.
So I’ll stand down until I do.