Time evolution of the NS kick velocity (upper left panel) compared to the absolute value of the NS angular momentum (lower left panel), the polar and azimuthal angles (θ_spin, φ_spin) of the NS spin direction (right top and middle panels), and the relative angle α_sk between spin and kick directions (right bottom panel) for five selected models. Two of these models represent high-spin cases (N20-2, N20-3), two are low-spin cases (W15-6, W15-7), and one is an intermediate case (L15-3) from our model set. The build-up of the angular momentum occurs in mainly a single impulsive episode during the convectively perturbed accretion phase of the NS. Together with its angles the angular momentum reaches its terminal value long before the NS acceleration has ended. The clustering of all five plotted models around a final θ_spin ≈ 90° is a mere coincidence, and the whole set of computed models exhibits the expected random distribution in polar-angle space.