Alas, Section 1801, (the portion of the statute that defines "United States Person") disagrees with you.
Holdek reminds me of the Dems screaming in 2000 about the law in Florida saying "The law says MAY!" when the law that applied said Shall.
§ 1801. Definitions ...(i) "United States person" means a citizen of the United States, an alien lawfully admitted for permanent residence (as defined in section 1101 (a)(20) of title 8), an unincorporated association a substantial number of members of which are citizens of the United States or aliens lawfully admitted for permanent residence, or a corporation which is incorporated in the United States, but does not include a corporation or an association which is a foreign power, as defined in subsection (a)(1), (2), or (3) of this section.