Are you sure?
The basis for naturalized citizenship in 1983 was an oath swearing sole allegiance to the US. Swearing allegiance to the US cost Schwarzenegger his Austrian citizenship. In 1989, because of his celebrity, strings were pulled in Austria and Austrian citizenship was reinstated, and accepted, thereby breaking the written, 1983, US oath.
I my book he's out and should face a choice. Renounce his Austrian citizenship or face deportation.
That’s an intersting premice, one that I had not heard before. I might be in full agreement with a bit more study on it.