Obama considers himself a Kenya due to linkage with his namesake father (real or not).
That linkage maybe more legal. He may have picked Kenya citizenship in 1971. Fully, legally. As part of the ‘reset’ of his life after returning from Indonesia.
If he was ‘born’ in Kenya he really - wasn’t. He would have been born legally in the political entity British East Africa as Kenya was not independent from British rule until 1964.
So if he was born in the land now called Kenya he would have been British at birth. To renounce this tie to the crown he would need to submit form RN and renounce his British citizenship to representative of the crown.
Even as the legal son of BRITISH citizen he would have rights to be a British subject.
But if his namesake father stepped forward to help with family matters in 1971 it is likely that Senior provide 100% Kenyan citizenship to the young refugee from Indonesia at that time.
Supposedly, according to Dreams Obama traveled ‘alone’ from Indonesia to Hawaii in 1870 or 1971. Lets assume he did (though this is doubtful). If INS FOIA records are correct his mother arrived in October of 1871 and he was already in country. Her passport expired a year earlier. So we know she had not travelled back to the US for a long time. So if she did not accompany Obama and Lolo did not, who did? And if was ‘alone’ what did he do at POE. Clear customs and catch a cab to grannies? Without a legal guardian even in the country? Pretty impressive for a 10 year old.
I flew internationally by myself at a younger age than that, so there’s absolutely no reason that O couldn’t have been an unaccompanied minor himself.