Comparison between different simulation sets for the hot-gas fraction relative to the cosmic baryon fraction within R₅₀₀ versus the total cluster mass, M₅₀₀, at z = 0. In both panels, the red band is the observational reference from Eckert et al. (2021) (as Fig. 2) and the empty gray circles show The300 simulated clusters used in this work. The left panel shows the relative hot-gas fraction from The300 simulated with GIZMO-SIMBA in cyan and the AGN and CSF models of the DIANOGA sets in dark and bright green triangles. The median values for TNG-Cluster are in blue; those for the largest and the highest resolution box of the FLAMINGO simulations are in pink and purple; the combination of the BAHAMAS and MACSIS samples is in orange. In the right panels, we report some best-fit forms: those for cosmo-OWL AGN8, AGN85, and reference model are in dark brown, brown, and light brown. The model for Illustris TNG is in light blue and that for the MAGNETICUM run in black (appropriate references in the text).