The treecool file are equilibrium photoionization and photoheating rates, an up to date table is e.g. presented in https://arxiv.org/pdf/1801.04931.pdf.
This only includes a very simple Hydrogen and Helium network, see https://arxiv.org/pdf/astro-ph/9509107.pdf.
More sophisticated cooling routines need to be implemented seperately, a simple table is not enough.