You can burn wood cleanly and very efficiently, so why not just ban inefficient stoves rather than wood burning in general? A TLUD isn't going to be any worse for your health than a gas-burning stove or furnace.
Our neighbour has a modern, top-of-the-line, highly efficient wood boiler. Still makes the area smell like a parking garage for a couple of hours each day during winter.
It's not just about the stove. It's also about the state of the wood you're burning (humidity mostly). Very dry wood burns much more cleanly than less dry wood.
In that case they aren't operating it correctly.
We should be (and are) banning those as well though, because they're bad for your health and bad for the wider communities health.