I'm certainly no expert on the matter. Having said that, it's important to distinguish between soft armor and hard armor.
They might have different characteristics. Might be very similar. Dunno.
All I know (or at least believe to be true) is that soft armor degrades severely if the encapsulating waterproof nylon is worn/penetrated enough to allow the inner fabric to become wet. I also believe that, like any plastic, the inner material can be degraded with enough exposure to high heat. How much exposure, and for how long, I have no idea.
In the same light, ceramic armor is subject to being struck, and possibly cracked. GIs are instructed on ow to examine their plates for problems. They are also issued "practice plates" for training, so as to avoid damage to expensive "ballistic" plates. Aside from inadvertent impact damage, I'm not aware of other problems, although if the outside of the plate can allow water to enter the inside of the plate, then things might change; Again, just guessing. I very much doubt if the effectiveness/lifespan of even ceramic plates is enhanced by prolonged exposure to high temps. Of course, I admit my ignorance, and am looking for guidance.
From my personal state of ignorance, it seems prudent to store one's soft and hard armor in fairly cool temps, and in a very dry environment.
I have mentioned this elsewhere, but cops storing temperature-sensitive gear in the trunks of their cars should insist that the trunk lids be painted white, in order to reduce temps within the trunk. Got laughed-at by some cops, them saying their dept had higher budgetary priorities. OK, got that. but insisting on NEW cars having their trunk lids be white is not too much to ask, I think. Hey, what do I know?
YMMV, and seeking guidance.