Even if you have no reaction from either side, the fuel issue would work in tandem with the visual cue of being surrounded by black holes. Why have we never seen “low fuel” as a plot device before?
Because everyone assumes that a ship capable of light speed travel has no issue with energy supply. The rationale is that the fuel is low due to the environment. The black holes become the impetus for Poe’s mutiny even though we don’t say it, in true Star Wars style of exposition by sight.
Poe still opines that they are in great danger, but as the film presently runs, there is no indication of that. Having this element would just make the existing plot more believable with visual cues.
Black holes were an inherent part of the old EU via the Maw Cluster/kessel run.