It's not *incredibly* dangerous, it doesn't kill anything like as many people as cars, or alcohol, or tobacco, or many other things.
But it is estimated to be responsible for a few hundred deaths per year in the UK and a lot more illness, as you'd know if you read the report. Most of the emissions are from "lifestyle" woodburners who can remove them as easily as they put them in, and those who need stoves (e.g. boaters) can burn smokeless fuel.
So just like asbestos and lead and arsenic which the Victorians accepted because the risks weren't known, or DDT or thalidomide more recently, it's likely to be banned.