Whether Poisson noise will be dominant source of noise in low light conditions?
The Hasinoff paper says:


  For small photon counts, photon noise is generally dominated by other
  signal-independent sources of noise.


From my own experience with cameras I know that that is true. Even if the lens cap is on, the pixels will have dark current noise that is both spatially patterned and to a lesser extent varies by time. See for example this Nikon D300 dark frame:



The Alter et al. paper only considers the low-light case. They do not take into account any time-varying component of the dark current noise. They do mention an "offset voltage", and take it into account in their noise model. Maybe their sensors are just very good with an almost perfectly constant offset voltage for each sensor element.

The dark current noise is not photon noise, because by definition there are no photons, but it is still Poisson-distributed (see Justin Charles Dunlap, Characterization and Modeling of Nonlinear Dark Current in Digital Imagers, 2014), independent of the signal. Because there are these two types of noise sources with Poisson statistics, I don't think it is wise to call photon noise the Poisson noise like Hasinoff does.