The n-LMF trained on atomization energies and reaction barriers also shows unexpectedly large EXX admixtures in covalent bonds. This suggests that large admixtures are quite acceptable when aiming not only for good barriers but also for good reaction energies. So far neither the core nor the asymptotic region of the LMF have been covered by the training data. One may expect improvements in these areas when addressing relevant properties in the optimization as well. Many further improvements are conceivable when extending the new approaches reported here to range-separated LHs and strong-correlation-corrected schemes.