IMO science - and I mean real, hard, dispassionate science - is always invested in storytelling, at both a macro and micro level.
A scientific theory is a story (if you want an example, the big bang theory is narrative at its best).
Every scientific study, with its problem-action-resolution narrative, is a story.
So in this sense, scientists are always telling or participating in stories.
I think in English the word "story" can tend to have a connotation of being made-up, but this is not the case in all languages (in German for example the same word denotes "story" and "history"). And I certainly don't think this connotation of being made-up is what the author intends. A story can be truthful, and in the world of science, it should aim to be so.
And FWIW, the author comes from the field linguistics, which I would certainly not call a science - lol.