A recent meta-analysis of functional neuroimaging contrasts between emotional and neutral face processing has shown that the processing of facial emotions can be better classified according to threat detection than emotional valence, with the authors suggesting that their data are inconsistent with both the right-hemisphere and valence models of emotional laterality. I report empirical and theoretical data indicating that facial expressions are better classified according to threat detection than to the distinction between positive and negative emotions. I challenge, however, the claim that laterality effects provide little support to the right-hemisphere model of emotional laterality. This claim contrasts with neuropsychological and psychophysiological investigations that have shown that the right hemisphere has a graded prevalence for emotions provoked by threatening events. A reanalysis of data obtained in the target study suggests that the reported data are not necessarily inconsistent with a model assuming a graded, right-hemisphere dominance for emotions. I present a model of hemispheric asymmetries that could be consistent with the assumption that the right hemisphere's dominance for emotions may mainly be concerned with threatening events.