Before revision:  We show here that two non-critical systems exhibit similar behaviors as those used to conclude on criticality, and thus, the experimental observations provided in \mbox{%DIFAUXCMD fontenele .
After revision:  We show here that two non-critical systems exhibit similar behaviors as those used to conclude on criticality, and cannot be extrapolated to derive a test for criticality. Moreover, the authors did not include any control applying the Fontenele test to non-critical systems, to assess possible differences with the experimental data. We propose here two such controls, and show that the Fontenele test can misclassify as critical these non-critical systems. This implies that the analyses of Fontenele et al. do not support their conclusions, and the question of whether the brain operates at criticality remains open .