Recently, Mendonça et al. [1] investigated the Dicke-XXZ model and the Dicke-Ising model (DIM) using a variational unitary transformation accompanied by density matrix renormalization group calculations. For the latter model, their calculated quantum phase diagram contradicts claims about the existence of an intermediate antiferromagnetic superradiant phase (AFM-S) and the change in order of some phase transition lines, observed in other studies. In this comment we demonstrate that both features are indeed present in the Dicke-Ising model for the investigated parameter range in Ref. [1].