The new jars we sell are kept in an outside trailer, they will get hotter than 90 degrees f, but not often as low as 5 degrees f. We will buy multiple skids at a time, and sell them throughout the year. We have had no issues with selling them, using them ourselves, or have had returns of them. For personal use, our extra used jars are stored in a outside building, but they do not have lids or rings on them. Lids & rings are kept in the basement where the temperature and humidity is somewhat stable. Extra lids for sale are kept in a temperature controlled warehouse.
I really don't expect you to have a problem, but I would prefer if I were you for extra insurance to keep the lid in a more stable environment due to the gasket. You will probably hear the lid pinging from time to time as the temperature swing changes the pressure within the jar.