I would add some practical observations to the above. In sub zero climate, thermal mass isn’t a significant design issue, you want steady heat anyways, at times up to the limits of the stove design (ie minus 35). Where people run into trouble with wood stoves is when they are run at minimum load, ( spring and fall), slow smouldering fires. Chimneys tar up, causing dangerous issues, and obviously the wood combustion efficiency is much lower going up the chimney as particulates and tar.
I have to say that I hadn’t thought about the warmer climate scenario requiring cycled high efficiency burning and thermal storage. But I agree with the logic. In Bill’s case it doesn’t really apply too much, unless using a stove too big for the dwelling, which could easily be case given the small footprint.