Noodleman's and Yamaguchi's methods are spin-projected approaches, while Ruiz's method is referred to as a non-projected approach. Although some discussions have focused on selecting mapping approaches based on the strength of J, it is important to note that the fundamental understanding of OSS calculated by BS-DFT varies inherently across these approaches. The long-standing debate regarding which mapping approach can yield more reliable results has yet to reach a consensus within the community. In practice, the choice of approach is contingent on the specific chemical system under investigation and the functional employed. Each method has been supported by experimental data or high-level quantum chemistry calculations in the literature. This further complicates the prediction of J with quantitative accuracy using BS-DFT. In this study, rather than endorsing a particular approach, we calculated J using all three formulas, with the results presented in Table (Noodleman's approach), Table (Yamaguchi's approach), and Tables 1-2 (Ruiz's approach).