Oddly, the image that Scientific American chose to illustrate their article isn't from any of the Melancholy of Haruhi Suzumiya projects, but from Aokana - Four Rhythms Across the Blue, a much more obscure title.
And even making an example out of 8 episodes would be stupid, as the 8th episode in the Endless is meant to be the very final piece of the loop. It's arguable for the very first, you could in theory watch it out of order too, but it has the most setup of the bunch.
So they only cared for the superpermutation of 6.
Critically abysmal research on the article's part.
[0] https://docs.google.com/spreadsheets/d/1JWY_VFaF_NAxlmPkYsOA...
You then have a series of one-shot stories from the books (and one original episode contributed by the creator of Full Metal Panic!) that get scattered throughout, as there wasn't enough content for a full season, and it would be weird to have the climax occur mid-season.