Different rescalings presented throughout the paper. In particular, we compare profiles derived with i) mean densities, scaled by M₅₀₀^Y_X (green triangles); ii) median densities, scaled by $M_{500}^{\mathrm{HE}}$ (red stars); iii) median densities, scaled by M₅₀₀^Y_SZ (1 − b = 0.8; orange squares) to the reference ones, i.e. obtained with median densities and scaled by M₅₀₀^Y_X (black dots).