In fact, this means that you can qualify as a candidate for Int Officer, but once selected you must give up your second citizenship.I would ask my CO from what document he/she is getting that information, considering the INTEL PA literally says "Being a dual citizen (i.e. a U.S. citizen and a citizen of another country) is not necessarily disqualifying. Associated risks to national security will be determined on a case-bycase basis, refer to ICD 704."
I was confirmed during my border interview when an O-5 who had Italian origins he told me that he could not apply for Italian citizenship because if he did he would lose his SC.