The question (for me) is "where does structure reside?"

Is it on the page / on the screen (plot points, paradigms, formulas, etc.)? That's what conventional advice teaches us.

I think structure resides in the audience (reader or viewer). Movies structure our experience. That's why we devote time to watching them.

This is consistent with what I understand to be your concept of story, Scott.

Loads of mediocre scripts have the plot points (etc.) on all the right places on the page. But they don't engage the reader / viewer.

All stories have some sort of structure.

But not all structures tell a story. You know your script tells a story based on how the audience reacts, not on what page a particular event takes place.

This doesn't mean that writers can arrange the story any way they want to. The premise that not all structures tell a story relates to non-formulaic structures as well as to formulaic structures.