Understanding the origin of distinct charge density wave (CDW) instabilities in layered (, 3) compounds (, rare earth element) has been an important issue. In this research update, we have investigated the electronic structures of (, 3) and layered CDW compounds employing angle-resolved photoemission spectroscopy (ARPES) and soft x-ray absorption spectroscopy (XAS). The trivalent valency of ions is confirmed for (, 3) and , supporting that -Te slabs serve as charge reservoirs and that the CDW instability occurs in the partially filled Te sheets. Both resonant photoemission spectroscopy and photon-energy map measurements provide evidence that electrons do not contribute directly to the CDW formation but that the indirect contribution from Pr electrons through the Pr hybridization is feasible in (, 3). Circular and linear dichroism ARPES measurements indicate that the chirality of the Te orbitals certainly plays a role in the CDW formation of (, Er) while it is relatively weak in , and that the -crossing orbitals, responsible for the CDW formation, are ordered in plane (in the plane) in all of them. Different CDW-induced Fermi surface reconstructions between and are due to (i) the existence of two Te sheets and one Te sheet per unit cell in and , respectively, so as to produce different numbers of hole carriers, and (ii) the different lattice parameters of Te sheets in , leading to the different densities of states at .