Well, personally I would, but that is just me. I am not one for allowing anything to stand on wire, but many do, so I don't want you to think I'm saying your mean, or anyone else. Of course the cold locations you certainly do not want to allow your girls to feel a cold draft, they can only insulate what their feathers can hold for heat, with a draft, it changes the temp of the air between the feathers.
I am most certain someone from down your way will give you a better educated answer- Right now, I'd call 40 bikini weather!
Enjoy your birds, eat those healthy eggs and have fun!