Anti-artificial spin ice (AASI), realized through spin-ice–derived antidot lattices of stadium-shaped holes in continuous Permalloy (Ni81Fe19) films, provides a powerful route for embedding geometry-induced magnetic anisotropy within a connected magnonic medium. Here, homogeneous and bicomponent AASI lattices are investigated through a combined experimental and micromagnetic approach, establishing a direct link between lattice geometry, magnetization reversal, and spin-wave (SW) dynamics. Magneto-optical Kerr effect measurements, Brillouin light scattering spectroscopy, and simulations reveal that antidot size, lattice heterogeneity, and magnetic field orientation collectively govern both equilibrium states and dynamic excitations. The static response exhibits pronounced angular anisotropy in coercivity and remanence, with bicomponent lattices showing distinct reversal pathways and shifted anisotropy extrema relative to homogeneous systems. These variations are directly reflected in the SW spectra, where edge-, node-, and domain-wall–localized modes, as well as mode splitting and frequency flattening, emerge as signatures of geometry-induced magnetization textures. The excellent agreement between experiment and simulation establishes a microscopic connection between equilibrium magnetic configurations and SW excitations. These findings demonstrate a direct transfer of configurational anisotropy into tunable magnonic functionality, highlighting AASI as a versatile platform for geometry-encoded SW architectures.