You said:
“No. Obama could not lose his citizenship by being naturalized in a foreign country. It involves a lot more work than that, even as an adult”
Elaborate on what kind of work.
As posted earlier:
Section 349 of the Immigration and Nationality Act (8 U.S.C. 1481), as amended, states that U.S. citizens are subject to loss of citizenship if they perform certain specified acts voluntarily and with the intention to relinquish U.S. citizenship. Briefly stated, these acts include:
obtaining naturalization in a foreign state upon ones own application after the age of 18 (Sec. 349 (a) (1) INA);
taking an oath, affirmation or other formal declaration of allegiance to a foreign state or its political subdivisions after the age of 18 (Sec. 349 (a) (2) INA);
entering or serving in the armed forces of a foreign state engaged in hostilities against the U.S. or serving as a commissioned or non-commissioned officer in the armed forces of a foreign state (Sec. 349 (a) (3) INA);
accepting employment with a foreign government after the age of 18 if (a) one has the nationality of that foreign state or (b) an oath or declaration of allegiance is required in accepting the position (Sec. 349 (a) (4) INA);
formally renouncing U.S. citizenship before a U.S. diplomatic or consular officer outside the United States (sec. 349 (a) (5) INA);
formally renouncing U.S. citizenship within the U.S. (The Department of Homeland Security is responsible for implementing this section of the law) (Sec. 349 (a) (6) INA);
conviction for an act of treason (Sec. 349 (a) (7) INA).
In light of the administrative premise discussed above, a person who:
is naturalized in a foreign country;
takes a routine oath of allegiance to a foreign state;
serves in the armed forces of a foreign state not engaged in hostilities with the United States, or
accepts non-policy level employment with a foreign government,
and in so doing wishes to retain U.S. citizenship need not submit prior to the commission of a potentially expatriating act a statement or evidence of his or her intent to retain U.S. citizenship since such an intent will be presumed.
http://travel.state.gov/law/citizenship/citizenship_778.html