Inclination distributions for Kepler-10b from our fiducial simulation (initial e, i from Rayleigh with σ = 0.1; blue line in Figure 7). The blue line indicates the distribution of the time-averaged inclination for the systems that do not form USP planets, while the orange line indicates the inclinations of systems when they first reach ﹩{a}_{1}(1-{e}_{1}^{2})\lt 0.02\,\mathrm{au}﹩ and would be tidally captured.