Incorrect.
At the time, U.S. citizenship law did not recognize either dual citizenship or loss of citizenship if one was actually born in-country.
Indonesia may have considered him a citizen, but he had not lost his birthright under U.S. law.
He moved to Indonesia then returned to the US. It is possible he returned to the US and came back through immigration (which he probably did not) then would be considered a naturalized not natural born citizen.
He attended school in Indonesia at a time when only citizens were allowed to attend school there. Indonesia did not provide for dual citizenship. Therefore he would have needed to return to US though immigration to attain his naturalized status.
It doesn’t matter what the US allowed. Indonesia did NOT allow dual citizenship. If Obama was a citizen of Indonesia his parents would have HAD to renounce his US citizenship. In order to attend school there he HAD to be a citizen of Indonesia and he DID attend school there so what does that tell you.
“At the time, U.S. citizenship law did not recognize either dual citizenship”
U.S. law still does not recognize dual citizenship, they just don’t enforce the law. Yo are correct on that obama would have not lost his citizenship IF he was a citizen. That’s one of the problems, there is no evidence that he was born in Hawaii( legal in court).
While the term is commomly misused. birthright citizenship means that both your parents were U.S. citizens at birth( natural born). obama is not a natural born citizen and thus not the President of the U.S.