Distribution of the X-HESS AGNs (orange circles) and the high-λ_Edd (blue squares) and low-λ_Edd local AGNs (red triangles) from Liu et al. (2021) in the Γ − log λ_Edd plane. For the multi-epoch X-HESS AGNs, we considered the Γ associated with their high-flux state. The black error bar in the lower right corner represents the average uncertainty on the X-HESS sources. Solid and dashed black lines describe the best-fit relation and its 1σ spread, respectively. The dash-dotted green line represents the Liu et al. (2021) best-fit relation, for comparison.