Never crossed my mind to consider it. Fortunately down here in the South, it seldom gets cold enough that it would ever be a problem. However, I always draw my bow 20-25 times to loosen up as soon as I get on the stand. This makes a difference, even after sitting on the stand a while.
I heard an interesting story about warming up a bow in cold weather. Back in the 50's, the guy that introduced me to archery would always draw his bow to 1/2 or 2/3 draw several time before shooting it. When I asked him why, he pointed to the big scar above his eye. He said he was hunting in the North country in winter once and loaded an arrow and came to full draw. The bow snapped and he got clobbered. From then on he always "warmed up his bow" before shooting. A little off topic, I guess, but it made think back my very beginnings as an archer.