I've recently moved to a small flat with relatively poor heat management. However, the only space I have available to store boxed figures not in use is next to a fridge that gets hot occasionally. Would this damage figures that're stored in cardboard boxes about 6 inches away from the side of the fridge?

The room I store them in also faces the setting sun and it usually gets pretty hot during these summer evenings. Thankfully, not as hot as american weather but I believe more humid.

Anyway, long story short, does fluctuating temperature damage figures that are in their original boxes that are also stored in cardboard boxes or am I being a paranoid autist?