We add a note about the paths obtained by IDPP and the NEB method. In the present IDPP-NEB path optimization, the number of NEB images, optimizer, and its parameters are fixed. However, in practice, when an undesired path is obtained, a better path may be found by adjusting these tunable parameters. Therefore, the results in Figure could be improved in favor of IDPP if the best paths from various trials were used. Nonetheless, we emphasize that optimization using FB-ENM and the direct MaxFlux method yielded plausible paths for all reactions without such trial and error. Next, reaction 34, which involves the exchange of hydrogen atoms between ammonia and formaldehyde, is examined in detail as it yielded the energetically worst FB-ENM path compared to the IDPP path. Figures and show the reactant and product structures, respectively. Optimizing the path with these structures as endpoints, FB-ENM and IDPP produced largely similar paths (Figures and). The only notable difference is the angle in formaldehyde formed by the oxygen, carbon, and hydrogen not involved in the exchange.