I know that I have had the opportunity to apply to work at the NSA. When I was looking for job opportunities after college I perused lists of government jobs, including positions at the NSA. I know that today, I would not apply to work there. I'm one person, but I know many engineers of a similar mindset and read about many more, so I assume it's a trend. I definitely don't know what rate of potential applicants conform to this mindset, but I know some do (me, the people I know like me, and voices I've heard on the internet).
Therefore, I can meaningfully argue that they would have a harder time hiring. Of course I might be wrong but that's what you get when you operate with incomplete data.