If we assume that the forests will regrow to their former strength then the fires are indeed not all the consequential. The trees release the stored CO2 when they burn, and new plants will take up an equivalent amount of CO2 again when they grow. The CO2 sequestered in a forest is more or less just the biomass in it (some is in the soil, but not that much)

But if climate change leads to permanently losing those forests, that is an effect we will feel. Still less bad than losing permafrost

If we figured out how to store chopped down trees somewhere where the wood doesn't break down, that would be a really effective way to get CO2 out of the air!

Easier said than done, of course. Sinking millions of trees to the bottom of the ocean might be the most practical way.