I'll do my best to respond to your points. Your post has made me realize I didn't do a very good job explaining...thanks for pointing it out.
First: this post has nothing to do with the company and whether it does or does not have its shit together. I posted this as an individual because I was excited that I was told we were getting an intern and they'd be working with me...which is something that's never happened to me before.
Whether or not the wiki aspect is secretarial work is entirely dependent upon the intern. If we end up getting someone with no CS background then yes, that aspect of their work will likely be secretarial. If we get someone with a strong CS background then I'd give them a list of things we've considered building and tell them to go for whichever one they want (or come up with their own). Some examples of projects off the top of my head: bi-directional syncing of ground-based versions of our wiki with a version aboard the ISS, building web services to communicate between various databases and mission critical tools, working on methods to suggest content to people who may not be aware of it, etc.
The NASA headline is not intended to be misleading. The intern would work onsite at Johnson Space Center, not at a contractor offsite. Within our group the fact that some badges say "contractor" and others say "civil servant" is irrelevant; we all work on the same stuff. And, quite frankly, what we work on is pretty awesome: developing EVAs, responding to on-orbit failures (think the "square-peg-into-round-hole" scene from Apollo 13 [1]), SCUBA diving and working in the space suit in the NBL...and on top of that, and because I've found a niche for myself, developing software to smartly fix our knowledge management problems. I don't know anyone with a job cooler than mine, except the astronauts I work with daily.
I'm sure there are lots of companies that give interns work that extends the classroom. This is not one of them. There are two reasons for this: (1) there are no classrooms teaching EVA, and (2) our group does not focus on software development. If a rockstar developer ended up getting this internship then they would have a lot of freedom to work on projects of their choosing, but they would not get oversight from Peter Norvig. That is probably a deal-breaker for some; it probably sounds awesome to others.
[1] https://www.youtube.com/watch?v=C2YZnTL596Q