im sure mm is accurate. Wood is stored in old ventilated greenhouse. but for conversation sake lets say its wetter than 12 %. Are you saying drier wood would last longer? I think not. Maybe hotter but not longer. My big complaint is the length of time, not the btus. When burning it heated pretty good. 600 stove temps etc. The problem was after a few hours the fire would die out and need refueling. I tried 2 bunbles of supermarket wood for the fun of it and lasted a max of 45 mins near 600 fully dampered.
Oak is notoriously slow to dry and getting it to 12% in our NE climate would be surprising. Thus, I was wondering whether you have really oak or some faster drying species. However, what you describe is more like a solar kiln, so 12% in 3 years is a possibility.
One problem in figuring out what is going on with your stove are the bits and pieces of info that you are supplying. Maybe you are just overestimating burn times but it is hard to figure out. Let me describe one of my typical burns:
From a cold stove, I will start a small fire with some softwood, kindling and newspaper. I leave the air about 1/4 open. Stove will get to ~500F. After an hour, fire will be mostly down to hot coals, stove temp maybe ~400 F. I rake the coals forward and add as much dry hardwood as I can only leaving maybe 1" gap to the baffle. I wait until the wood has caught fire, then close the door. Stepwise I will close the air down over the next 15 to 20 min. Flames will shift from the wood to the top; very strong secondaries, usually looking like little gas burners. Stove will reach peak temp in the 700 F to 750 F range about 1 hour after reloading. At that time wood will have settled a bit but still fill most of the firebox. Over the next 3 hours, few flames in the wood, lots of flames in the top. After about 3.5 hours, secondaries will be mostly down to a few flare-ups. Maybe a little flame from the wood. Wood down to orange/white coals, will fill about 1/3 of firebox. Stovetemp still 500 F to 550 F but starts dropping now. After 6 hours, few hot coals left, stovetemp 350 F to 400 F; time for reload, rinse, repeat.
That is with mixed hardwood. When I burn pine then you can cut those times in half, which makes me think you don't have oak there. I doubt you could even burn 3 cu ft of oak in an open fireplace in less than 1 hour. In addition, 3 cu ft of oak are at least 400,000 BTU. Burn that over 8 hours and you still have 50,0000 BTU/hour. Should be plenty for your needs.
I don't have a flue thermometer but temps on a single wall should be in the 600 F to 700 F range after the reload and over 400 F when the stove is dampered down. 200 F to 300 F would be a recipe for creosote.