This comment is aimed to point out that the recent work due to H. Kim, J-Y. Moon, G. A. Mashour and U. Lee ([22]), in which the clinical and experiential assessment of a brain network model suggests that asymmetry of synchronization suppression is the key mechanism of hysteresis observed during loss and recovery of consciousness in general anesthesia, has indirectly provided empirical confirmation of the theoretical model outlined in [8] (Iurato and Khrennikov, 2015), based on a possible implementation of an hysteretic pattern into a formal model of unconscious-conscious interconnection worked out on the basis of representations of mental entities by p-adic numbers. One of the main assumptions done by the authors of [22], is that (physical) hysteresis (of their brain network model took into account) observed during anesthetic state transitions shares the same underlying mechanism as that observed in non-biological networks. This makes licit to put into comparative relations [8] and [22]