Tire punctures pose significant challenges, particularly for critical applications like off-road vehicles. Run-flat tire (RFT) systems, including Self-Supporting Systems (SSS) and Rim-Support Systems (RSS), improve safety and operational efficiency by enabling mobility after pressure loss. This study focuses on RSS inserts, employing Finite Element Analysis (FEA) to evaluate fatigue life, thermal performance, and structural integrity under zero-pressure conditions. Preliminary designs for both solid and hollow insert concepts are analyzed, with key indicators discussed. Validated through mesh convergence and sensitivity analyses, the model investigates parameters such as stress distribution, radial stiffness, strain energy density, temperature profiles, and contact patch behavior. Fatigue life and thermal performance are computed using the Endurica Solver, correlating insert design parameters with durability, deformation, and thermal management. Results indicate that insufficient insert support under zero-pressure conditions leads to tread warpage, uneven contact, and localized deformation, adversely affecting durability and handling. Critical metrics such as footprint area, pressure distribution, and displacement are identified as key optimization drivers. This simulation-driven framework provides valuable insights into developing durable, thermally efficient run-flat tires to meet real-world operational demands.