Median velocity dispersion (top panel), median half total mass radius R_50% (second panel), median half stellar mass projected radius R_⋆, 50% (third panel), and median total stellar mass M_⋆ (fourth and last panels), all vs. M_SH. In this plot, we exclude central SHs. Simulation suites are coloured as in Fig. 2. We also show median values of observations from cluster AS1063 presented in Bergamini et al. (2019) (blue solid lines with crosses) and Granata et al. (2022) (orange solid lines with diamonds). We also show Granata et al. (2022) radii (third panel) and stellar masses (fourth panel) over SH masses from Bergamini et al. (2019) via blue lines. Low-mass simulated SHs have stellar masses in agreement with observations, but they are too large, while high-mass simulated SHs are too numerous (no observations for SHs with M_SH >  4 × 10¹¹ h⁻¹ M_⊙).