Posteriors of H₀ for the four analysis scenarios. The left panels use complete galaxy catalogs (UGC0 and LGC0), while the right panels incorporate catalog incompleteness (UGC1 and LGC1). Unlensed and lensed cases are shown by solid red and solid blue lines, respectively. The dashed black lines indicate the true value of H₀. In all cases, spectroscopic redshift measurements are employed. Although the lensed cases comprise only eight events compared with 250 unlensed signals, they still produce tighter posteriors. Incomplete catalogs broaden the posteriors due to increased uncertainty in host-galaxy identification, while less precise delensing in the lensed cases increases the luminosity-distance uncertainty, further widening the H₀ posterior.