Distribution of the 120 true obliquities present in our sample. In the top panel, the Ψ values are shown as a superposition of their normalized posteriors, fitted with a kernel density estimation (KDE) with a Gaussian kernel and Silverman’s bandwidth (other bandwidth selections yielded similar results or overfitted graphs). The shaded blue and light blue regions respectively represent the 68 and 95% highest density intervals (HDIs). The middle panel displays a simple histogram of true obliquities. The lower panel addresses two key issues: (i) the arbitrariness of binning; (ii) the apparent valley around 90°–100°. To account for these issues, 100 histograms with 20 bins were generated, with 20% variability on their boundaries. The average histogram is represented by the solid blue line, while the dashed blue line represents the KDE.