And I have a Modern day court answer for this. Rogers v Bellei.
A Natural born citizen cannot be stripped of citizenship through inaction.
US v. Wong Kim Ark (1898)
“The foregoing considerations and authorities irresistibly lead us to these conclusions: The Fourteenth Amendment affirms the ancient and fundamental rule of citizenship by birth within the territory, in the allegiance and under the protection of the country, including all children here born of resident aliens, with the exceptions or qualifications (as old as the rule itself) of children of foreign sovereigns or their ministers, or born on foreign public ships, or of enemies within and during a hostile occupation of part of our territory, and with the single additional exception of children of members of the Indian tribes owing direct allegiance to their several tribes. The Amendment, in clear words and in manifest intent, includes the children born, within the territory of the United States, of all other persons, of whatever race or color, domiciled within the United States. Every citizen or subject of another country, while domiciled here, is within the allegiance and the protection, and consequently subject to the jurisdiction, of the United States.
His allegiance to the United States is direct and immediate, and, although but local and temporary, continuing only so long as he remains within our territory, is yet, in the words of Lord Coke, in Calvins Case, 7 Rep. 6a, strong enough to make a natural subject, for if he hath issue here, that issue is a natural-born subject; and his child, as said by Mr. Binney in his essay before quoted, if born in the country, is as much a citizen as the natural-born child of a citizen, and by operation of the same principle. It can hardly be denied that an alien is completely subject to the political jurisdiction of the country in which he resides seeing that, as said by Mr. Webster, when Secretary of State, in his Report to the President onThrashers Case in 1851, and since repeated by this court, independently of a residence with intention to continue such residence; independently of any domiciliation; independently of the taking of any oath of allegiance or of renouncing any former allegiance, it is well known that, by the public law, an alien, or a stranger694*694 born, for so long a time as he continues within the dominions of a foreign government, owes obedience to the laws of that government, and may be punished for treason, or other crimes, as a native-born subject might be, unless his case is varied by some treaty stipulations. Ex. Doc. H.R. No. 10, 1st sess. 32d Congress, p. 4; 6 Websters Works, 526; United States v. Carlisle, 16 Wall. 147, 155; Calvins Case, 7 Rep. 6a; Ellesmere on Postnati, 63; 1 Hale P.C. 62; 4 Bl. Com. 74, 92.
To hold that the Fourteenth Amendment of the Constitution excludes from citizenship the children, born in the United States, of citizens or subjects of other countries, would be to deny citizenship to thousands of persons of English, Scotch, Irish, German or other European parentage, who have always been considered and treated as citizens of the United States.”