Scatter plots showing the distributions of the mean S/N (ρ_mean) and source redshift (z_s) for all detected doubly (circle markers) and quadruply lensed (diamond markers) GW systems in our sample pool, color coded by the relative uncertainty (﹩{\delta }_{{H}_{0}}﹩) value. Generally, the quadruple-image systems have lower ﹩{\delta }_{{H}_{0}}﹩ values, reflecting the more informative constraints they provide on H₀. In both cases, events detected with higher ρ_mean and located at lower z_s tend to exhibit lower ﹩{\delta }_{{H}_{0}}﹩ values, indicating that the corresponding H₀ posteriors are more tightly constrained.