In principle when reading any language when running across two potential structures for a particular situation, always ask what "A" would mean and what "B" would mean, assuming both are referring to the same general situation.
Learn to read within the framework of the language system itself.
In other words, meaning and emphasis and packaging are part of the original language system and are not determined by translation into another language. καί and δέ do not "mean, emphasize, or package" the same thing even if English translators choose the same English words for their translations.
Practically, that means that students can learn a lot by asking questions like, "what would this mean if the aorist infinitive were replaced by a continuative infinitive, or vice versa?" Practicing to read "A" by comparing with "B" will eventually bring a big payoff in sensitive reading skills. That is what people are doing who write about "discourse analysis".
PS: Unfortunately, some people have cluttered the literature with unteneable and misleading theories (at a time when the field was too weak to call them out).
That clutter is what some of the 'aspect-only' people did with discourse analysis in the 90's. I feel sorry for Stirling:
I invested untold hours trying to figure out what S.E. Porter and J. Reed were up to in the 1990s. Wasn't an investment with much yield.
Stirling is correct and students, expecially beginning students, should be steered away from aspect-only "discourse" studies. For example, the Greek perfect was a semantic signal (somewhat complex because of having features that overlap with aorists, statives, and imperfectives), it was not a pragmatic discourse signal of heightened proximity/foreground or any other weakly defined subjectivity. Suggesting the perfect as heightened gobblygook, as the aspect-only people did, mispredicted the reading of texts and simply left students and the practioners themselves in a cloud of confusion.
So yes, read, read, read, Greek, communicate in Greek to become sensitive to the choices being made, and yes, read Steve Runge's book--it is a responsible synthesis of features and signals in the Greek language.
Steve, I don't know if you will see this note, but I saw a copy of your book yesterday in the Bible Society shop across from the NW corner of the Old City, Jerusalem. κῦδος !