2D PDFs of EW and MW maps computed within circles of the radii R_vir, R₅₀₀, and R₂₅₀₀ from top to bottom, for the v_x, v_y, v_z, and v_cen projected velocities from left to right. The PDFs extracted from the EW maps are displayed following the same colour-code as Fig. 2. The fitted Gaussian envelope is also shown as a solid black curve, and a vertical dashed black line represents the mean of the PDF. In addition, the PDFs extracted from the MW maps, their fitted Gaussian envelope, and their mean are overlaid in grey in the same style as their EW counterpart.