Well, I once bought some roadside 'seasoned firewood'. Good hardwood, it was, but about 40% moisture and therefore useless. In principle, regulation is a good idea.
To be honest, however, my biggest air quality issue at home in the UK is people with bonfires of garden waste. Quite why people with massive gardens don't have space for a compost heap, if they object to going to the tip, is beyond me, particularly when I've opened my windows on a winter evening for some fresh air and find my eyes stinging and feel like I cannot breathe.
Here in my current location, in Italy, nearly everyone burns wood. Those who cut their own sometimes have the best quality of all as collecting it becomes a hobby and then they have several years' worth in storage, and thus it becomes very well seasoned (dry mountain air helps too). The sold wood often isn't much good until it's been stored for a season - but it depends on who sells it, and whether the buyer knows their stuff.
But a culture of wood burning helps a lot - in Wales, you often see piles of firewood stored exposed to the rain, which would not happen over here. Perhaps once people get to see what genuinely dry wood burns like, the informally sourced wood will have to improve in quality?