The late appearance of DNA, the nature of the LUCA and ancestors of the domains of life

It has been firmly observed that replicative DNA polymerases of bacteria, archaea and eukaryotes are not homologous proteins. This lack of homology in the replication apparatus among the domains of life is not only compatible with but would seem to imply the view that the emergence of DNA occurred in the fundamental cellular lineages. In consequence, this diversity of DNA polymerase would go back to the level of ancestors of the domains of life and to the evolutionary time in which the DNA emerged. Therefore, the presumed evolutionary stage linked to the RNA- > DNA transition would have occurred only at the level of ancestors of the main lineages of the tree of life. Thus, the high noise associated with this major evolutionary transition and the impossibility for a cellular stage to generate different fundamental genetically profound traits - such as the different replication apparatuses of bacteria, archaea and eukaryotes - would imply not only that the last universal common ancestor (LUCA) was a progenote but that the ancestors of the domains of life were also at this evolutionary stage. So, I criticize the hypotheses which want, instead, that completely different cells - such as, bacteria and archaea could have originated from a cellular LUCA.