For a direct comparison to self-consistent methods, Fig. showcases the scQED-DFT/OEP, 50 scQED-CCSD, and pQED-TD-DFT/ωB97XD methods in calculating the transition state (TS) and product (P) ground state reaction points. We will assume scQED-CCSD to achieve a superior accuracy to either of the two additional methods presented and is taken as the benchmark. The scQED-DFT/OEP method showcases much higher barrier and product energies relative to the reactant, by roughly ∼8 kcal/mol in comparison to the scQED-CCSD result. The pQED-TD-DFT/ωB97XD results showcases near-perfect agreement with the scQED-CCSD transition state while exhibiting an overetimation of the product energy by ∼4 kcal/mol. It should be noted that the level of DFT used in this work was at the hybrid ωB97XD level while in Ref. 50, a new functional was used that includes approximate electron and photonic exchange-correlation referred to as the optimized-effective potential (OEP) approximation. The differences in the cavity effects between the scQED-CCSD and the method used in this work are less than 30 meV, which is well-within the degree of accuracy between DFT and CC levels of theory for these systems. As expected, the physics of the system is well-represented using either pQED and scQED methods and the overall accuracy is dictated by the choice of underlying electronic structure theory used as input.