To achieve wide-temperature-range inhibition of coal spontaneous combustion and address the limitations of weakly acidified seepage-prevention oxygen-removal (GMA) inhibitors, which lack targeted suppression of radical chain reactions at mid-high temperatures, this study developed an optimized sodium lignosulfonate (SLS)-reinforced composite inhibitor. Composition was optimized via single-factor experiments, FTIR, and response surface methodology. Mechanisms were systematically investigated through oxygen consumption tests, thermogravimetric analysis (TGA), segmented oxidation kinetics, and density functional theory (DFT) calculations. Results indicate the system maintains a stable oxygen consumption capacity between 20 and 50 °C, reducing early-stage oxygen supply. TGA reveals characteristic temperatures T1–T5 increased from 80, 144, 187, 355, and 399 °C to 117, 153, 216, 397, and 453 °C, respectively. Compared to the SLS-free system, T4 and T5 further rose significantly, demonstrating enhanced high-temperature inhibition. Kinetic analysis confirms a substantial increase in apparent activation energy across the T1-pre, T1–T2, and T2–T3 stages. Furthermore, the burnout index (Df) and comprehensive combustion index (S) decreased by 25.45% and ~69%, respectively. DFT elucidates that SLS phenolic hydroxyl groups act as primary active sites, engaging in reactions with key radicals (RCH2O·, RCH2OO·, and ·OH), specifically exhibiting barrier-less hydrogen transfer for ·OH quenching. This composite achieves wide-temperature-range inhibition through the synergy of low-temperature oxygen management and mid-high-temperature radical scavenging.