The organic molecules in hybrid perovskites can easily rotate within the inorganic lattice at room temperature, leading to a crystal-liquid duality. The liquid-like behavior of the organic molecules is commonly believed to play a critical role in the dynamical stability, but the microscopic mechanism remains unclear. Furthermore, the presence of dynamically rotating molecules raises concerns regarding the reliability of assessing the stability of hybrid perovskites based on simple yet commonly used descriptors such as the Goldschmidt tolerance factor. Here we assess the finite-temperature phonons of hybrid perovskites by mapping ab initio molecular dynamics configurations onto an equivalent dynamical pseudo-inorganic lattice and extracting the effective force constants. We find that as compared to the formamidinium or cesium cations, stronger anisotropy and wider range of the thermal motion of the methylammonium molecule are essential for enhancing the dynamical stability of hybrid perovskites. The cation radius that determines the tolerance factor is, in fact, less important. This work not only enables a pathway to further improve the stability of hybrid perovskites, but also provides a general scheme to assess the stability of hybrid materials with dynamical disorder.