But it’s a moot point anyway, because trees simply grow too slowly to be an effective carbon buffer at the timescales that are relevant right now.
Using them for building material is okay as well, but the amount of wood needed to get rid of the excess CO2 is far above any reasonable demand for building material. (We're talking about a trillion tons of carbon here)
Whatever you do with the biomass a hundred years from now doesn’t really matter; either climate change is in control by then or the humanity is screwed.
The "plant trees for charcoal" idea is basically the bio-engineering method of "build huge photovoltaic solar plant, use electric energy to power chemistry to convert CO2 to oil". Photosynthetic plants are pretty efficient, compared to silicon solar cells, and they're (literally) dirt cheap.
What we need is to invest in technology to reduce CO2. Nuclear fusion/fission, solar, wind, electric or alternative fuel cars, redesign CO2 industry processes, etc.
The petrol and coal industry would have to go entirely bankrupt. No exceptions.
But who would pay for that? If there were the political will we would long have passed a simple carbon tax that, after some adjustment period, would be tied to the price of unburning a ton of CO2.