Air can be damp, though hmm. So you are letting in moisture. I live in one of the wettest parts of the country - believe me, the air is damp here.
But that is nothing to do with cold temperature
Air can be moist in summer. It can be dry in winter
"It makes sense that people want to save on heating cost, but one of the best mold prevention techniques is keeping your heating on.
"If you seriously want to avoid mold in your home then avoid rooms cooling completely. Experts recommend that the ideal temperature for living rooms is 20°C, 23°C for the bathroom and children’s rooms, and 16C for the bedroom and kitchen. It is recommended that you never let the temperature of your home fall below 14°C."
This advice is because it is assumed people are heating their homes and also cooking (steam), dryers, showers etc.
It is not advice for a house doing none of that.
This is my point. I'm not giving examples of normal house activity. I'm saying that, in theory, if a house is totally cold and has no heated moisture, then it should not be damp. It isnt cold temperature that causes damp. It is moisture and different temperatures.
This is how weather fronts work. For example high pressure in winter will be cold but dry. When the stars are out for example in winter. But if a low pressure front clashes with high pressure then you get rain.
As I've said earlier. I dont like central heating personally but I would put it on for visitors and especially children and the elderly. I'm just making a point about damp. That it is possible to be sheltered in the cold and not be damp