This really reminds me of a writing course I took called “Writing Stories for Science”. That’s where I first encountered the idea of story beats. The class seemed more focused on the natural sciences and story structures, so I got the impression this must be very difficult to apply to pure mathematical writing. Maybe it’s easier in applied mathematics where there’s a clearer reason that could be explained to a layperson.
I don't think the point here is to make a math paper understandable to a lay person, but rather make it interesting and contextualize it for other academics.