This is the critical aspect for me, Eg, the humidity inside is 80, and so is outside. But it's 2 degrees C or something. I'm figuring out if I have to worry about it with regard to respiratory issues (sounds like I don't as there just isn't enough moisture to worry about) and with regard to mould etc, which I am less confident about.
The cooling/reheating process you mention seems to be at odds with Studiot's comment on mould/spore generation and suggests simply warming but I may need further details from Studiot regarding that.
This was initially an issue because, the morning after the first sub-zero night I spent in the van, the polyester blanket over my duvet was soaked, the van was freezing, and the CO2/Fire alarm went off in some crazy error mode. The only difference was that I had shut all the windows. Now I leave them open a crack and don't seem to get it as bad. I guess my own body's perspiration had condensed on the non-absorbing polyester and in the circuits of the alarm.