In an attempt to answer the op question on putty.... I used to work for a builder who did emergency glazing and we often used putty in the winter..... we would keep it in the truck footwell and have the heater blasting warm air at it on the way to a job so it was supple when we needed it. I cant honestly say if it harms it being cold as we were doing emergency repairs and didnt need to go back afterwards.
A google shows that putty should be used between plus 5° and 35°c, but again, if its warm when it goes in the frame, i dont know if the cold would actually do any harm