Beyond the HF exchange fraction, other aspects of the exchange-correlation functional can be expected to be important for identifying SCO behavior. Thus, we evaluated both DEH-L and DGH-L using 23 DFAs distributed across the various rungs of "Jacob's ladder" 124 , following the protocol from prior work 121 (see Computational Details). This set includes three generalized gradient approximation (GGA), four hybrid GGA, four meta-GGA, five meta-GGA hybrid, two range-separated, long-range corrected hybrid, and five double-hybrid DFAs (Supporting Information Table ). Except for GGAs and meta-GGAs, all other DFAs in the 23 DFA set have aHF varying from 0.10 to 0.71, and MP2 correlation is incorporated over a similarly wide range (between 0.125 and 1.000) in the double-hybrid DFAs (Supporting Information Table ).