Top panel: Logarithm of the X-ray bolometric correction factor log(L_bol/L_X) plotted vs. log(λ_Edd), where the latter is computed using the X-ray scaling method. The dashed line represents the best fit including both the X-HESS sample (red diamonds) and the WISSH sample (blue circles), K_X=(2.26±0.01)+(0.59±0.01)×log(λ_Edd). Bottom panel: Same plot with log(λ_Edd) derived using SE measurements. No significant correlation is obtained.