The problem with the saran wrap - and even the metal or plastic lids - is that I do not know what the temperature tolerance of those materials are, without more information form the manufacturer. The metal lids should hold up - but the ink may not be stable - and can out gas, possibly tainting the spices....
If you can - the best way I know to salvage damp, or stale seasonings is to place them in the microwave - only long enough to "loosen them up" . The down side - much like heating them in the traditional oven - is that the volatile essential oils that give many spices their aroma/taste - are "vagrant" in nature ( thus the moniker volatile)
and will really loose their potency after heating them, so - microwave - then use them right then. If you microwave - or just heat them - them put them back on the shelf, you will find that have gone "flat" the next time you take them out to use.
T