From the description for "Zero Option" at SAE - "Terry’s works in the field have been acknowledged with a number of awards: his music for the 1994 One False Move (a member of The New York Times List of the 1000 Best Films Ever Made) was nominated in the Best Score category at the IFP Spirit Awards."
It's credit only; the Haycock & Holt score was rejected and only some cues remain in the film (for reasons not specified, they couldn't remove the names from the film).
Plumeri did additional scoring. And the film's actual composer is Paul De Franco.
I chatted with Plumeri about the film and score, but he got less than happy when I posted some details about it (which I since deleted) in that thread.