Metamaterials enable the reconstruction of physical field properties through controlled local symmetry breaking, thereby challenging conventional paradigms in physics. Nevertheless, realizing such symmetry manipulation often requires intricate composite structures to satisfy specific symmetry conditions, which unavoidably compromises reliability under extreme environmental conditions. Here, inspired by the generalized Kerker effect, we introduce singular points within a desymmetrized all-ceramic metamaterial to relax these constraints. In this design, inversion symmetry breaking is confined to a single structural element, and the thermal tolerance is determined solely by the intrinsic melting point of the ceramic. Specifically, a variable blind-hole geometry patterned on ceramic plates is employed to establish D4v symmetry, enabling precise manipulation of odd and even modes and their mutual interference under the theoretical framework of bound state in the continuum (BIC). This mechanism generates a singular mode that suppresses both forward and backward scattering, yielding near-lateral electromagnetic wave propagation and externally near-perfect absorption. Furthermore, the intrinsic self-supporting nature and near-field polarization sensitivity of this architecture significantly enhance its application potential. By decoupling generalized Kerker effects from strict symmetry requirements, this flexible strategy expands the design space for functional metamaterials, thereby promoting the development of advanced devices with unique electromagnetic properties.