This case is totally different from Obama. Obama was born in the US. So he is a US citizen. The fact that Obama was born here and did not take on any other citizenship after eighteen would have defaulted him to US citizenship. His mother did play fast an loose too. But that was when he was a child. Had she gotten a foreign passport for Obama as an adult for either Indonesia or Kenya, he would have lost his citizenship and would have had a hard time getting back into the country too.
For that matter, 0’s agent advertised 0 as being “born in Kenya.”
You seem really certain.