I don't think wood-burning is a real emission issue since wood growing/burning is a carbon-cycle and not a fossil taken in the ground and injected forever in the atmosphere...
As long as the wood is coming from tree plantations, not from deforestation of course, which I expect to be mostly the case in North America and Europe.
Even if the forest is replanted and eventually stores the same amount of carbon as was released in burning the wood you end up behind. You release a bunch of carbon today and it takes decades for the new growth to recapture that. Plus you burn additional fuel for the harvest, processing, and shipping, which is never recaptured.
Burning and replanting forests is not carbon neutral. Not even close. It's an accounting gimmick that the EU uses to make themselves look good.
As long as the wood is coming from tree plantations, not from deforestation of course, which I expect to be mostly the case in North America and Europe.