I read an article some time back on a "taste test" done on previously frozen vs non-frozen cigars. The result was that the effect was minimal to non-existent. In fact, there are lots of smokers who freeze everything before they go into their humidor. Just be sure to move them from the freezer into the fridge for a day before they go back so they don't crack or split.
...and I'd freeze the boxes, too.
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