Wood fires don’t cause a significant net increase in carbon in the atmosphere. Trees take carbon out when they grow, then put it back when they are burned or decay. No net increase.
Coal is much dirtier (particulate) when it is burned in a low-tech stove than in high-tech power plant, but they release pretty much the same carbon.
What counts is the total amount of coal burned, not how it is burned. Low-tech coal burning stoves are a tiny percentage of world consumption.