Comparison of statistical properties of the 3D velocity field (x-axis) over projected sightline velocities (y-axis). We show the mean value and the standard deviation among the three components of the 3D velocity field, i.e. v_x, v_y, v_z, in the x-axis, and among 100 random projections in the y-axis. From left to right, we present the median, the mean, the standard deviation (≡σ_proj in the top panel of Fig. 5), the skewness, and the kurtosis. We display the quantities estimated from EW (MW) projections within R₂₅₀₀ in orange (cyan), R₅₀₀ in red (blue), and R_vir in dark red (dark blue). The legend can be found in the central panel.