Over the last ten years, the accurate modeling of UV/vis photo-absorption properties of noble metal nanoclusters has become an active field of research. Being composed by 100 to 300 noble metal atoms, the systems under interest are positioned on a frontier. They are indeed too small to be assessed by neglecting quantum mechanical effects but too large to be easily investigated (in terms of computational resources) with electronic structure methods. Here, we approach the problem by using the sTDA method, a recently developed simplified variant of TDDFT which starts by the computation of a Kohn-Sham guess in localized orbitals at full DFT level, and is followed by an estimation of the singlet-singlet excitations in a semiempirical fashion using the linear-response theory. Therefore, sTDA becomes demanding-less in terms of memory and allows for the computation of thousands excited states on a large energy range (up to 6 eV for the systems investigated herein). With respect to previous investigations on the topic, the sTDA variant to TDDFT makes possible the use of global-and range-separated hybrids. Its added value is thus to (partly) cure the self-interaction error in DFT which is known to introduce misinterpretations of the photoabsorption spectra when the system increases in size and is governed by long charge-transfer excitations.