Cumulative distributions of f_peri, the fractional distance in time between the pericentre (f_peri = 0) and the apocentre (f_peri = 1), for the on-plane (orange solid lines) and off-plane (blue solid lines) samples, considering values obtained with the low-mass (top panel) and high-mass (bottom panel) MW potentials. Dashed lines represent the expectation of a uniform distribution for each sub-sample.