The modular assembled corrugated steel plate shear wall (M-CoSPSW) facilitates rapid installation, flexible location, and easy restoration. Through two scaled tests of the M-CoSPSW structure under cyclic loading, a consistent failure mode was observed, underscoring the need for a reliable boundary frame to enable the embedded corrugated plates to fulfill dual roles in lateral force resistance and energy dissipation. This study addresses potential column failures caused by buckling deformation and tensile fracture by developing an appropriate matching relationship between boundary columns and infilled corrugated plates to optimize the shear wall design method. Combining experimental results with numerical simulations, and after verifying the correctness of the modeling approach, this study explored the seismic performance, stress distribution patterns, and failure modes of the new shear wall. Subsequent finite element (FE) analysis of 28 different column and corrugated panel combinations investigated the shear force distribution relationship between the boundary columns and the corrugated panels. This analysis quantified the lateral stiffness matching relationship and proposed a reasonable lateral stiffness ratio between 0.4 and 0.6 to prevent bending deformation of the MCoSPSW structure. Additionally, theoretical analysis proposed a method for calculating the strength at the base of the boundary columns to estimate base stress and apply it in matching design to avoid failure due to insufficient strength at the column base. Finite element simulations validated the proposed methods.