Replacing the B95c DC functional by a more flexible B97c-type power-series expansion and optimizing the parameters in the presence of dispersion corrections on data that also cover noncovalent interactions provides a smaller but still important improvement of the functional when applied to the GMTKN55 database. Combining the new n-LMF with such more flexible DC contributions in a balanced way, we arrive at the LH24n functional. LH24n-D4 provides the lowest deviations of an LH so far for the large GMTKN55 test suite, and the lowest WTMAD-2 value for any rung 4 functional so far in self-consistent calculations. Evaluation for organometallic transition-metal thermochemistry and reaction barriers reveals reasonable but less convincing performance. This suggests pathways for further improvements, e.g., more diverse training sets and larger neural networks.