A distillation might need to fill in background knowledge
A good summary/distillation has two functions. First, it extracts the most important information. Second, it helps the reader understand that information more efficiently.
Most people think a distillation cuts a source text down to a smaller size. It can do more than that. Sometimes, the most important information in a text requires background knowledge. If the reader doesn't have that background knowledge, a distillation designed for that reader must start by communicating it to them, even if the original source text didn't explain it.
For example, each chapter of the Handbook of the Biology of Aging assumes the reader knows the mechanistic details of the biological processes it's describing. The chapter on genetics assumes the reader is a geneticist. The chapter on DNA repair dysfunction assumes the reader knows how non-homologous end joining works.
One obvious use-case for this Handbook would be to educate an early-career researcher on the field of aging biology to inform choice of lab. It's not easy to use the Handbook for this purpose, since there's no way a student will have all the background necessary to understand it in advance. Requiring them to repeatedly interrupt their reading to independently research each technical subject severely undermines the efficiency of the Handbook as a communication tool. A summary of the Handbook targeting this audience would present enough of that background to facilitate understanding the Handbook's technical material.
I think that it's good to keep those general heuristics in mind, and I agree with all of them. My goal is to describe the structure of pedagogical text in a way that makes it easier to engineer.
I have a way of thinking about shallowness and depth with a little more formality. Starting with a given reader's background knowledge, explaining idea "C" might require explaining ideas "A" and "B" first, because they are prerequisites to the reader to understand "C."
A longer text that you're going to summarize might present three such "chains" of ideas:
A1 -> B1... (read more)