Short term, I’d say no problem. But it’s the moisture content you need to think about in the wood in these bows . It can and will soak up a certain amount of moisture over time. The wood moves….It climatizes…..
Typically you will not notice much difference as the riser absorbs moisture….But it’s when it dries out again, and shrinks, is where the problems can occur. Depending on different materials used building the bows the expansion and contraction rates differ, and often will crack along the lamination lines if different composite materials are used with wood.
Bottom line is you are better off keeping your bows stored in the same temp and humidity environment that your family is comfortable living in. Extremes one way or the other for long periods of time isn’t good.
With that being said, I’d much rather store my bows in the garage where it’s colder, than putting your bows in a basement with your furnace, or an attic with high temps in summer. I’ve seen much more damage done by drying out a bow too much, than high humidity and cold conditions. Kirk