The term “naturalized” has been assumed by most, including you apparently, to mean that a person born of a foreign allegiance may by disavowal of that allegiance and a swearing of allegiance to the United States, and by meeting certain specified requirements become a citizen of the United States.
More broadly, the term “naturalized” can refer to ANY type of citizenship conferred by statute, including any type of citizenship at birth that is not “natural born”, i.e. NOT deriving from the operation of natural law, but by the operation of a statute.
Natural born citizenship is a citizenship that precedes the State and is superior to it. It is a type of citizenship that can not be revoked by the State since the State did not confer it in the first place.
Obama is not this type of citizen. He is a citizen (if he is one at all) by operation of the Naturalization Act. He is not a Natural Born Citizen.
My father was naturalized at age 9, when his parents became US citizens. We have papers.
My FIL became a US citizen by choice after emigrating from Norway after WWII. He had papers.
Where are zer0’s papers?
He is not Natural Born and he was not naturalized after returning from Indonesia, where many documents list him as an Indonesian citizen by adoption.
IMO, he is a man without a country.