Relaxed excited-state geometries for PBE0 and ADMM-PBE0 kernels using MOLOPT and ccGRB-X basis sets as well as sTDA kernels based on PBE0 and ADMM-PBE0 references are reported in the SI. The data includes a corresponding statistical analysis on the error in the geometrical data with respect to EOM-CCSD/def2-TZVPP, PBE0/def2-TZVPP, and PBE0/def2-QZVPP references. In contrast to the study of Ref., we excluded first excited states of the eclipsed structures of Nitrosomethane and Trifluoronitrosomethane as these singlet states represent transition-state structures with an imaginary frequency. Due to the large number of geometries that had to be optimized considering different kernels and basis sets, we calculated vibrational frequencies only for those structures that differed significantly from the reference geometries, ensuring that they represent local minima. In the earlier benchmarks of Ref., MADs for bond lengths of GS structures are predicted to be in the range of 0.5 to 1.0 pm for hybrid functionals, with largest errors found for CO, CN, CS, and CSe bonds. In general, it is concluded that deviations are largest for polarized bonds. In Figure the error introduced by ADMM in bond lengths of GS or first singlet ES geometries is depicted for selected bonds of the 35 molecules of the benchmark set, with "ADMM error" being defined as the deviation that results from comparing the conventional PBE0 computations with approximated ADMM-PBE0 ones choosing the same primary basis set. The assessment is thus reflecting the accuracy of the auxiliary basis set size. For both GS and ES, results relying on the smallest dzp basis, colored in green or blue depending on the chosen primary basis, deviate significantly from computations using larger auxiliary basis sets, depicted in orange and red. Predicted bond lengths are too long, with dzp errors amounting up to -3.9 / -4.1 pm for GS / ES geometries and being thus much larger than the corresponding error range for the tzp and tz2p auxiliary basis sets; both tzp and tz2p bonds combined with a TZVP or TZV2P primary basis deviate by at most -1.0 or -0.9 pm. Comparing GS and ES distributions, the error spread for the ES is slightly broader than for the GS. However, both tzp distributions suggest a classification in two or more groups depending on the type of atoms involved and resulting in two maxima in the histograms. Bonds including H, S, Se and C-C bonds can be associated with relatively small errors corresponding to the first maximum and Gaussian distribution around 0.0 pm. Larger deviations in the range of -0.3 to -0.5 pm can be found for oxygen or halogen bonds contributing to the second maximum in both GS and ES histograms. Outliers corresponding to the maximum errors of -1.0 pm can be traced back to Nitrogen bonds. An analogous classification and assignment for the dzp auxiliary basis is less conclusive for the ES due to the broader distributions, but still holds true for the GS with the exception that C-C bonds fall into the error range of the second maximum around -1.5 pm.