You are neglecting cooking and showering moisture (plus a number of other sources: plants, clothes drying). A very rough estimate for those would be:
Respiration and perspiration: 4.2 lbs of H2O per person per day.
Shower: 0.6 lbs per person per day (5 minute shower)
Cooking: 2 lbs per person per day.
Each of those pounds of water involves 1075 BTU (0.32 kWh) of latent heat.
Not neglecting:
. Thermal resistance should be the dominant factor (depending on ventilation strategy).
The bath/ shower should be vented to the outside, clothes drying definitely so.
I don't know how you get a quart of water a person cooking, unless they always eat pasta and cook on a gas stove. Cooktop should be vented for air quality, so a portion of that should not apply to moisture load. True, plants, pets, dishwasher, and general cleaning add to moisture load.
Going with your numbers, that is 6.8 pounds of water or 7,310 BTU over the day, 304 BTU per hour. Compare this to a 40x40x8 R 26 house with a 30 degree differential to the outdoors at 3,300 BTU per hour. The sensible heat is the larger contributor. Relately, the Chiltrix system supposedly varies unit temp for sensible vs latent control.
One key point is what replaced that tree? If you cut down a tree, put up a parking lot, that carbon is never sequestered again, so it is no different from fossil fuels. Also harvesting energy can be a significant portion of the total. If you are leaving carbon in your ash, you are burning horribly; but ash is not biochar, it gets converted to be plant available very quickly.
Sure, if you don't grow another tree, then you are not recycling and cycle ends back at CO2 vs wood. I'm not worried about the ash, you had mentioned returning it to the forest. My trees get replaced by trees, but wood is not our main heat source (to be honest, the fireplace loses more that it supplies)