Hey Will,
Good question! As question go, this is certainly among the most unusual questions in LSAT history, which is saying quite a bit when you realize we are taking about thousands of LR questions. So, just on that basis alone, a question like this is generally rare. And, in this case, it's built on such a unique "logical formula" that duplication would be challenging just on that count.
As far as the "outside info," I don't know that I fully agree with you there. I don't think there's a special set of info that's required, but instead that the way it works together is so
unexpected that that creates the difficulty as opposed to some little-known fact. Does that make sense? In any event, I think we are talking about the same idea, but in a different way.
And, in answer to your question about the last part:
willmcchez wrote:Does this imply that the days in question would bear no name whatsoever? e.g., Sunday -> Nameless Day -> Monday?
The answer is yes. Those days would be these weird, uncountable "makeup holidays" that are like a blank space in a calendar but that are actual days. So they'd exist but they would be "extras" without a regular weekday name.
Please let me know if that helps. Thanks!