I just had a disaster using a refrigerator late last Summer, and lost my entire seed collection as a result.
It took us almost a month to figure what went wrong. The seeds were stored in their original packaging(which I should have removed), in tupperware full of rice in kitchen fridge...big mistake. The opening and closing(and cleaning)created enough temp variation to create condensation despite rice. In the end it ruined their internal food supply so vital to seedlings.
Now I store in the basement with a dehumidifier and have had no issues. If I were to use a fridge again, I would insure it was dedicated only for that purpose.