Grids in KN deprojected offset (in kiloparsecs) vs. halo mass (﹩\mathrm{log}({M}_{h}/{M}_{\odot })﹩) space for the three timescales considered in this work: freefall (left), cooling (middle), and diffusion (right). All timescales are in gigayears. Our GRB-KN sample (Table 1) is shown by the stars, and the short-GRB sample in A. E. Nugent et al. (2022) and A. E. Nugent et al. (2024) is shown by the black circles. The black contour lines represent where 10 Myr and 200 Myr fall for each of the two timescales. The majority of the freefall and diffusion timescales for the KN and short-GRB samples are >​​​​​​10 Myr, while the cooling timescales are generally much shorter.