Posteriors of the apparent (orange) and retrieved true (green) luminosity distances for each case, along with the recovered magnification factor (blue), μ₁, for the first-arriving lensed GW signal obtained via rejection sampling. Dashed lines indicate the injected values. In all cases, the injections are included within the posteriors, and the uncertainties of the retrieved true distances are notably narrower for quadruple-image systems compared to double-image systems.