Recently, there has been a lot of effervescence towards excited states and different flavours of DFT that can describe them . While time-dependent DFT is still a very popular method , most calculations are performed using an adiabatic approximation, in which the instantaneous density is fed into a ground-state functional. Adiabatic functionals are incapable of reproducing dynamical peaks and steps of the exact time-dependent KS potential, which in turn are essential to describe atoms and molecules driven far from their ground state . Density-functional theories that are time-independent have also been developed to deal with excited states. One prominent approach is ensemble density-functional theory (EDFT), based on an ensemble of states giving an averaged density rather than a pure-state density . While EDFT has experienced substantial recent developments crucial for its progress , it suffers from drawbacks. Notably, when addressing a high-lying excited state, it typically necessitates the inclusion of all lower-lying states in the ensemble. Additionally, modeling the weight dependence of the exchange-correlation functional poses challenges. More recently, orbital-optimized DFT, a time-independent framework in which the state of interest is selected by converging the KS self-consistent procedure to saddle points, has demonstrated relative success in computing certain kinds of excitations including those that are typically challenging for TDDFT . Theoretically, functional approximations specific for the state of interest should be used , however such functionals have not been developed yet (to the best of our knowledge) and therefore most applications of DFT to excited states are performed using ground state functionals. On these bases, the development of state-specific functionals appears to be an area of DFT where progress would be particularly useful.