Notes. Four statistics are used to evaluate the consistency between 2PCFs and “No selection” 2PCFs. They are (1) χ_d² (defined in Eq. (18)) describes the difference between 2PCF data vectors; (2) probability-to-exceed (PTE) indicates the probability for a random data vector having higher χ_d² value; (3) ΔΩ_m and Δb describes the individual parameter bias in the unit of constraining error; (4) χ_{ΔΩm,  Δb}² describes the overall constraining bias on the parameter space. The first five rows evaluate the difference between “Recovered OR” and “No selection” with the same NC set-up for the data-driven OR and recovered mock OR, and the following three rows evaluate the difference for fixed NC_KiDS test, and the last two rows evaluate the difference between “True OR”, “UR” cases, and “No selection” cases, respectively.