Out of curiosity, I typed "duck syndrome" into Google. The only relevant links on the first page pertain to "duck syndrome" at Stanford. Maybe the term is beginning to catch on elsewhere?
You're flirting with the assumption that something must exist on the Internet in order to exist at all. Or even that there's a strong correlation. That's a bit scary!
Indeed. But the converse is also untrue: Not everything that people post on the Internet has a basis in reality. I know many people who went to other universities, and many do not appear to have a similar concept: For example, there are probably few superficially serene ducks at MIT, because many of them seem to wear their hard work on their sleeves; and students at Cal have nicknamed their school "Berzerkeley".
I am not saying that this term or even this phenomenon is strictly unique to Stanford, but I simply have never observed "duck syndrome" used in this sense in any other context. This includes the Internet, personal conversations, and so on. And now, it includes this Hacker News thread, because aside from Drbble's vaguely plausible remark no one has yet come forth that their institution employed this term as well.
My take on it is that, just as everyone has their own mascot, everyone has their own vocabulary, which probably includes their own coinage for this experience if they indeed have this experience to describe.