Anthropogenic emissions of CO2 are currently about 37 billion tons per year:

https://ourworldindata.org/co2-emissions

That's enough CO2 to make 22.7 billion metric tons of cellulose per year, or ~2.8 tons per capita for Earth's 8.2 billion people. That's too much to to turn it all into furniture or even buildings.

An approach like this could benefit from crops which are not productive for humanity otherwise, but which grows much faster and eats CO2 cheaper than trees.

Does that mean “stop replanting forests?” Absolutely not.

Cut those trees to do furniture and you'll release all this CO2, do a culture of tree decades after decades and you'll never store it back.