The stage reached by the evolution of cellularity in the Last Universal Common Ancestor (LUCA) has not yet been identified. In actual fact, it has not been clarified whether the LUCA was a cell (genote) or a protocell (progenote). Recently, Pende et al. (2021) analysed the phylogenetic distribution of the cell division system present in bacteria and archaea reaching the conclusion that LUCA was a cell and not a progenote. I find this conclusion unreasonable with respect to the observations they presented. One of the points is that the presence in the domains of life of many genes - some paralogs - which would define the membrane-remodeling superfamily would seem to imply a tempo and a mode of evolution for the LUCA more typical of the progenote than the genote. Indeed, the simultaneous presence of different genes - in a given evolutionary stage and with functions that are also partially correlated - would seem to define a heterogeneity that would appear to be the expression of a rapid and progressive evolution precisely because this evolution would have taken place in the diversification of all these genes. Furthermore, the presence of different genes coding for the function of cell division and related functions could reflect a progenotic status in LUCA, precisely because these functions might have originated from a single ancestral gene instead coding for a protein (or proteins) with multiple functions, and therefore an expression of a rapid and progressive evolution typical of the progenote. I also criticize other aspects of considerations made by Pende at al. (2021). The arguments presented here together with those existing in the literature make the hypothesis of a cellular LUCA favoured by Pende et al. (2021) unlikely.