That's optimistic. Climate change is potentially reversible, but it would involve large-scale geoengineering or carbon capture that we don't have the technology for yet.
Developing and deploying that currently-nonexistent technology requires a stable, organized society. It's plausible that climate change could cause the breakdown of organized society before we're able to develop technology to reverse it.
Since bacteria is digesting cellulose this time, we can't rely on earth to fold over old wood. Instead, humans will have to manage the storage. But that should be doable, given the speed with which we can harvest forests.
But there's some tree that grows like a freaking weed and is amazing for carbon sequestration.
I feel like even having 'more' trees again would be helpful; where my family grew up, over the years all the big/old trees that were in people's yards were never replaced as they went away.
Also: carbon nano tubes and carbon fiber. We will build skyscrapers from carbon. There won't be enough carbon available for all the stuff we want to build.