Before any definitive answer--- I guess it would be great to know the range of temps for brushing on Dope "in the room" as well as what dope and reducers on hand
Cold is pretty subjective "in a room"
30s~40s~low 50s will need care to the proper reducer and allowed time to gas out or "set", any desired shrinkage will be much slower to happen if it even does
But if the room is just a chilly (to us humans) mid 50s to mid 60s most typical Dopes and reducers will or should work as expected
The Dharma silk, I use, does shrink as it drys but open bays still need tautening dope to get nice and tight... for this, I temp control by winter building area to (sort of comfortable) 65F (( This also keeps the cheap ballasts in my fluorescent lighting happy and mostly humm free))
I Doped a Fuselage a few winters back with Sig Non Tautening where shop was 38F over night and 50ish during the day (me in it)...seemed to take a long (3 days) time to dry enough to sand for another few coats
I bought 2 Wally World relatively cheap thermostat controlled floor heaters ( set to 65F) keep the 16'x28' shop at a fairly constant 57F~62F. Since the winter humidity here is much lower, my dope projects do as I expect-- or even a little better than my, other time of year, projects
As I write this my shop is 61F and 41% RH....OAT is 58F heading for 28F soon....Hey Canada! Keep that chit up north please
During summer the temps can get to 85F and RH up in the mid 70%... Dope flashes off fast and lots of blushing... I get more done in the winter .... but still BRRRRRRR cuz MY bod prefers a nice 77F and >45% RH