Ratio of the X-ray luminosity (intrinsic 0.5 − 2.0 keV) of IGrM only within 0.15R₅₀₀ and R₅₀₀ as a function of the residual logΔL₅₀₀. The latter is the residual distance between L₅₀₀ and the Lovisari et al. (2015) scaling relation. Left panel: we colour-coded the points based on the rescaled accretion rate of the central BH in the host halo. Right panel: we colour-coded the points according to the rescaled hot gas fraction in the halo. Both colour bars encompass the 5–95th percentile. See the main text for details.