Summary: Due to a bug in the simulation code, several results presented in our previous paper (Patrykiejew and Rżysko, 2020) are not correct. In this paper, we present the corrected results of the Monte Carlo study of the orientational transitions in two-dimensional systems of Janus-like particles on a triangular lattice. It has shown that the only relevant parameter, which determines the nature of the transition and its temperature, is \(\epsilon = u_{AA} + u_{BB} - 2 u_{AB}\), where \(u_{AA}\), \(u_{AB}\) and \(u_{BB}\) are the interaction energies between the different parts of Janus particles. When \(\epsilon < 0\) (\(\epsilon > 0\)), the transition belongs to the universality class of the 3-state (4-state) Potts model. It has also demonstrated that the transition temperature is entirely determined by the magnitude of \(\epsilon\), independent of particular values of \(u_{AA}\), \(u_{AB}\) and \(u_{BB}\).