So a permanently domiciled in the US alien couple can return “home” to the nation where they are citizens and their American born child remains a Citizen of the United States at birth. As long as they were permanently domiciled when the child was born.
I’ve got it now.
If in a Supreme Court case examining the merits of the facts you can get all parties to agree that bearing and raising a child for 17 years in the U.S. constitutes permanent domicile, yes.
In contrast, we already know Obama's father was only in the U.S. on a temporary basis. His 1961 "APPLICATION TO EXTEND TIME OF TEMPORARY STAY" is a matter of public record. It's doubtful anyone would agree he was permanently domiciled in the country given that.