Left panel: M₅₀₀ vs z distribution of the cluster sample. The rectangular regions show the three redshift bins, and within each of them, the dashed line divides the sample into high-mass (above) and low-mass (below) sub-samples. Right panel: fraction of clusters with RHs, f_RH, derived in the high-mass sample (red shadowed region) and in the low-mass sample (black shadowed region). For each bin, the reported minimum and maximum values of f_RH are f_RH(MC) with U = no RH case and f_RH(MC) with U = RH case, respectively (see Table 1).