Especially concerning the non-additive contributions, however, this approximation benefits from a number of error cancellation effects . One aspect of this, which is relevant also for ground-state calculations, is that inhomogeneity effects on the non-additive energy components are generally small . Hence, the linearization approximation could be established as a well-suited and cost-effective alternative to fully self-consistent WF/DFT calculations , which is assumed to work well unless density changes between electronic states become too large. A more extensive comparison of state-universal vs. state-specific embedding potentials and various ways to generate the environment densities on which these potentials are based was presented very recently by Fu and Wesolowski , showing that both average absolute errors and their standard deviations are reduced when switching from a ground-state polarized environmental density in state-universal embedding potentials to state-specifically polarized densities, but obviously at significantly higher computational cost.