We have studied the electrodynamic response of strongly disordered superconducting TiN films using microwave resonators, where the disordered superconductor is the resonating element in a high-quality superconducting environment of NbTiN. We describe the response assuming an effective pair-breaking mechanism modifying the density of states and compare this to local tunneling spectra obtained using scanning tunneling spectroscopy. For the least disordered film (k(Fl) = 8.7, R-s = 13 Omega), we find good agreement, whereas for the most disordered film (k(F)l = 0.82, R-s = 4.3 k Omega), there is a strong discrepancy, which signals the breakdown of a model based on uniform properties.