Top: Median purity and median completeness of companion galaxies identified via the application of our MC methodology on the Mock1 lightcone at different levels of SzF. Bottom: Correction factor $(\equiv \frac{\text{purity}}{\text{completeness}})$ as a function of SzF. The best-fit second order polynomial used in the interpolation and determination of our final correction factors is shown in black with the parameters of the fit given in the lower left (along with the fit χ²). Though the median purity and median completeness of identified companion galaxies increases with SzF, a correction factor is needed to properly assess the true underlying f_ckc.