Top panel: Average PDFs of the noised and smoothed convergence field from 256 light-cone random realizations with redshift z_s = 1, for all the analyzed models: ΛCDM (black), fR4 (green), fR5 (blue), fR6 (red) and ΛCDM_0.15 eV (purple). The black dashed line represents the average PDF without the addiction of GSN for the $\mathrm{\Lambda }\mathrm{CDM}$ model. Bottom panel: PDF noised and smoothed corresponding residuals computed with respect to the ΛCDM model. For the purposes of visualization, only the uncertainties of the noiseless and the reference ΛCDM measurements are reported in this plot as hatched gray and shaded gray areas, respectively.