In this context, a conceptually very important issue arises, which was formally discussed already by Khait and Hoffmann in 2010 and put into practice in Ref. 264: If the densities ρ I and ρ II of the active system and environment, respectively, are mutually relaxed in a self-consistent manner, the resulting embedding potentials (for the active system in particular) will be different for different electronic states. We note in passing that this effect also appears in other types of embedding schemes, like polarizable QM/MM, where the polarization of the environment is state-dependent if evaluated self-consistently.