The work described here isn't something that would be classified FOUO, or likely even just "secret". This would be at a minimum TS or most likely SCI. As such, you don't just sign an NDA to do work on a project like this - you go through an extensive background check process, get interviewed, and sign a bunch of paperwork that lasts the rest of your life regarding the criminal penalties of disclosure (at least until the underlying project goes through the declassification process).
To use the term "NDA" in such a context belies a general ignorance of how projects like this work in the government intelligence field. I suspect a hoax.
To use the term "NDA" in such a context belies a general ignorance of how projects like this work in the government intelligence field. I suspect a hoax.