Glass is a structurally disordered solid in a thermodynamic non-equilibrium state, and thermal stability is one of its most critical properties for ensuring long-term serviceability. Therefore, improving the thermal stability of glass is essential for expanding its applications. Physical vapor deposition has attracted extensive attention due to its ability to effectively enhance the thermal stability of glass, and has been employed to prepare ultrastable glasses of various types. However, a key question remains unsolved: what glass characteristics enable greater thermal stability improvement during vapor deposition? While prior studies noted a weak correlation between liquid fragility and thermal stability enhancement in molecular glasses, whether this correlation can be strengthened and if it applies universally across all glass types remains unconfirmed. Here, As₂S₃ glass with low liquid fragility is selected as the model system. The thermal stability characteristics of As₂S₃ glass films prepared by thermal evaporation are investigated using differential scanning calorimetry and X-ray diffraction. In additon, through statistical analysis, the influence of liquid fragility on the enhancement of thermal stability in different glass systems is also studied. Our results show that, compared with liquid-cooled ordinary glass, vapor-deposited As₂S₃ exhibits only a 5.5 K increase in glass transition temperature and an approximately 4 J/g rise in enthalpy. Furthermore, after standardizing the deposition conditions, a distinct cross-system correlation and a strong intra-system correlation are identified between the improvement in kinetic stability of vapor-deposited glasses and liquid fragility. Notably, this correlation also exhibits significant sensitivity differences to the valence bond types of glasses. These results support the rapid surface dynamic mechanism of ultrastable glass formation, offer insight into the relationship between glass structure and dynamics, and importantly, provide crucial guidance for the targeted design and performance optimization of glass materials.