He’d be a citizen but not a ‘natural born citizen’ - two different things.
It is possible that Obama is NOT a US citizen at all. His mother ceded his US citizenship so that he could go to school in Indonesia and also so he could be adopted by Lola Soetero. Indonesia DOES NOT permit dual citizenship. He was a citizen of Indonesia when he went to school there. There's no record of Obama ever reclaiming his US Citizenship by naturalization when he returned the US. He had a window opportunity to do that after he turned 18, and he did not. He also used some passport not a US passport when he visited Pakistan when he was 22 years old, after the window expired to reclaim his US citizenship. US citizens were prohibited from visiting Pakistan at that time. What passport did Barry use? Oops.