A reminder, thermal mass is great for retaining heat but its needs to be backed up by insulation on the outer envelope of the house. I have seen a lot of primary and secondary homes built up in my area with the stereotypical "massive stone fireplace with stone chimney" on an exterior wall where the exterior wall is built around the fireplace structure rather than behind it. This lets the stone be visible outside the building as well as inside. Sure they look great, but from a heating point of view this arrangement is a disaster. Stone does retain heat but it also conducts it readily. If there is not a proper insulated thermal break between the interior and the exterior of the building, these fireplaces can be a major heat loss to a house. If they are inside the outside envelope of the house like the old center chimneys or the more modern masonry stoves (aka Russian fireplaces) they can be an asset as long as the stack draft is dealt with.
In the case of the OP, if the cabin was better insulated and air sealed (very difficult in the long term with a log cabin due to settling) with a lower heating load, it would cool down slower overnight requiring a smaller stove and less wood to maintain the temperature. That is not criticism, just an observation. Insulation and sealing cost time and money so when energy was cheap or its just a seasonal usage, the decision is usually made to use more heat. On the other extreme, Passive homes are designed to have a very low heating load due to lots of insulation and sealing and they are heated just by the sun entering the windows usually with stone or occasionally water based thermal mass used to absorb the heat and release it during the night. The tradeoff to minimal heating costs is a much higher initial cost and if the money is borrowed higher mortgage payments.
In the case of the OP, if the cabin was better insulated and air sealed (very difficult in the long term with a log cabin due to settling) with a lower heating load, it would cool down slower overnight requiring a smaller stove and less wood to maintain the temperature. That is not criticism, just an observation. Insulation and sealing cost time and money so when energy was cheap or its just a seasonal usage, the decision is usually made to use more heat. On the other extreme, Passive homes are designed to have a very low heating load due to lots of insulation and sealing and they are heated just by the sun entering the windows usually with stone or occasionally water based thermal mass used to absorb the heat and release it during the night. The tradeoff to minimal heating costs is a much higher initial cost and if the money is borrowed higher mortgage payments.