We investigate the comparative studies of cosmological baryon asymmetry in different neutrino mass models with and without 13 by considering the three-diagonal form of Dirac neutrino mass matrices and the three aspects of leptogenesis, unflavoured, flavoured, and nonthermal. We found that the estimations of any models with 13 are consistent in all the three stages of calculations of leptogenesis and the results are better than the predictions of any models without 13 which are consistent in a piecemeal manner with the observational data in all the three stages of leptogenesis calculations. For the normal hierarchy of Type-IA with charged lepton matrix, model with and without 13 predicts inflaton mass required to produce the observed baryon asymmetry to be ∼ 2.2 × 10 11 GeV and ∼ 3.6 × 10 10 GeV, and the corresponding reheating temperatures are ∼ 4.86 × 10 6 GeV and ∼ 4.50 × 10 6 GeV respectively. These predictions are not in conflict with the gravitino problem which required the reheating temperature to be below 10 7 GeV. And these values apply to the recent discovery of Higgs boson of mass ∼125 GeV. One can also have the right order of relic dark matter abundance only if the reheating temperature is bounded to below 10 7 GeV.