Is there a word that names the sequence events were written about or described in, as opposed to the word chronologically? Example: Did you want us to present the events in the story chronologically or (in the sequence they were written)?
I think verbatim is your best bet. While not referring to original order in a series, it more generally means in the exact way it was written.
Your sample sentence could read,
"Do you want us to present the events in the story verbatim or chronologically".
The problem is that you're looking at different kinds of chronological ordering. There's the chronology of publication and the chronology of the plot. Since both of those options are chronological, we should avoid labelling one of them as other than chronological.
I suggest contrasting "publication order" or "canonical order" with "storyline order" or "the plot's chronological order". I'll use Star Wars as an example. The order of entry into canon is: 4, 5, 6, 1, 2, 3. Plot order is: 1, 2, 3, 4, 5, 6.
The contrast is between different bases for the chronologies. It's not between chronology and some other form of ordinality. The similarity between the plot's chronology and the canon's chronology is that they're both based on time. That's the nature of a chronology. The difference between them is a question of which clock matters -- the clock inside the publisher's office or the clock inside the story?
You should determine which clocks matter in your context, and then label your contrast with something that distinguishes between the natures of those clocks. Consider such options as:
- timeline of the work's creation (the clock that matters is on the author's wall)
- timeline of the work's publication (the clock that matters is on the publisher's wall)
- timeline of the work's entry into canon (the clock that matters marks entry dates)
- recommended reading order of a collection of works (the clock that matters marks the audience's time, but it is suggested by authors and publishers and could be independent of any other timeline)