Comparison between the orbital separations in our simulation with κ = 1 and the fiducial model with κ = 0 (Moreno et al. 2022), for the simulation involving the BH (left panel) and NS (right panel) companion, respectively. In (a) and (b) a scatter plot of the orbital separations (a_{κ  =  1} and a_{κ  =  0}) is shown. The black dashed lines represent the perfect correlation between the separations (i.e., a_{κ  =  1}  =  a_{κ  =  0}), while the best linear fit is a_{κ  =  1}  ≈  0.998 × a_{κ  =  0} (≈0.995 × a_{κ  =  0}) for the BH (NS) companion. In the bottom row (c and d), we show the zoomed in temporal evolution of the orbital separations for κ  =  0 (red) and κ  =  1 (blue) similar to Fig. 1.