The magnetic-field node of a TM020-mode cavity permits compact higher-order-mode (HOM) damping, but displacement of the coupling slots can expose the absorber to appreciable accelerating-mode leakage. A ferrite–SiC absorber is investigated numerically to combine broadband damping with improved thermomechanical response in a 1.5 GHz cavity. A transmission-line formulation relates material ordering to input impedance, and coaxial full-wave calculations show that placing SiC ahead of ferrite suppresses the pronounced low-frequency absorption dip of the reverse arrangement. The concept is integrated into a radially folded, six-sector absorber, with parameter sweeps resolving the effects of material dimensions, slot height, and sector angle. For the six HOMs tabulated, external quality factors are below 150, while the aligned accelerating mode has an external quality factor of 1.20 × 107. Frequency-resolved loss maps show increasing SiC participation across the transition near 2 GHz. At the same imposed absorber load of 2.65 kW, the hybrid reduces peak temperature rise from 97.0 to 79.9 K and maximum first principal stress in ferrite from 146.0 to 78.6 MPa, reductions of 17.6% and 46.2%, respectively. These results connect electromagnetic loss redistribution to improved thermal and mechanical response and support the hybrid arrangement as a compact damping option for TM020-mode cavities.