Oh, boy, will it ever. The house I live in now is a cabin on a lake, and originally was built without any central heating, only an UNVENTED wall propane heater upstairs.
When I bought the place I learned that the insulation in the ceiling (home-built cathedral ceiling, so it was about four inches from the roof) had become completely sodden and was ruined. Had to peel the roof off, replace the spacers according to code, and the insulation, and put the roof back on. Next thing I did was central heat.
It's nice and toasty now, temps outside about 18F. How they survived the winter here I'll never know.
What happened there is something I didn’t address in my little calculation.
Relative humidity won’t go up evenly, it will get MUCH higher in the cooler spaces and will condense onto and soak into cooler materials.
It’s actually pretty easy to control, with some attention to detail, as you have VERY dry air outside to mix with your inside air and bring down its humidity.
But I highly recommend venting combustion heaters to the outside, if used for more than very short periods.