The Integral Equation Coarse-Grained method is an approach that simplifies the representation of a polymer melt into a liquid of coarse-grained chains, considerably speeding up the computation of the melt properties, while reproducing with accuracy structure and thermodynamics of the corresponding atomistic description. In a recent paper [Polymer 111, 103 (2017)], it was stated that the structure-based Integral Equation Coarse-Grained approach does not give thermodynamic consistency. Here we present new calculations that confirm the validity of this method in predicting consistent pressure and radial distribution functions with atomistic simulations. Other details of the method are also discussed. (C) 2017 Elsevier Ltd. All rights reserved.