I'm not arguing that they don't work, but the "realistic" alternative is that people will still mostly use natural gas if they end up stopping wood-burning. Heat Pumps are also still using a mostly-fossil-fuel grid at times where there's the least solar and the grid is most carbon-intensive. Thus, wood burning is still the only carbon-neutral option. I'd still rather see heat pumps on a fully renewable grid, but we should have less carbon emissions getting there.
Keep in mind that modern wood stoves have catalytic combustors that burn the wood, then the smoke, then usually the smoke again.
They extract vastly more heat from the wood, and they emit vastly less toxic gasses out the stovepipe.
Also note they are legally required in many, many places now.
(Older stoves and fireplaces are grandfathered in, but you can't install a new "old" stove in many towns around the world)