Chrysler made millions of rounds of .45 ACP and .30 carbine ammunition during WW II and this is discussed in their advertising book "Bullets by the Billions" given out to the public following the war, and in one section the manufacture of primers is discussed. The mention is made of the humidity and its effect on the safe handling of primers.
To quote from the book "Most explosives can be handled with impunity if wet enough. The .30 primer mixture looked like granulated mud as the chargers rolled and worked it into a series of little holes in a steel plate looking something like a cribbage board. The much less flighty .45 mixture, paradoxically, gave more trouble. The reason was that 19% of moisture content is permissable in the .30 primer on the charging tables. The specifications call for the .45 primer to be worked at 10% of moisture; at 8% it will spark, and there were a number of flashes from it, none serious. It burns, fortunately, when not confined, where the .30 primer detonates."
From this reading, it would appear that a little moisture is not at all a hazard to primers, and in fact might make them more stable. They should probably be dried when loaded, but here in the Houston area I'll wager they are at a considerably higher moisture content just sitting on the shelf.