I store my decks with incense because I love the smell of incense, so all my decks smell what is for me a good smell. Only decks who are trade candidates have to live on an open shelf where they don't catch that smell
When one of my kittens peed on my old tarot box (cardboard!), I had to clean the one deck that was a bit wet - the Estensi. Oh the indignity! Fortunately, kittens have nearly smell-less pee, and I caught her immediately after the act. The crochet bags protected the other decks and all I had to do was wash the bags, but the Estensi needed some tlc before I could put it into its nice clean bag again. I wiped it down with eau de toilette and then let it air out - no smell was left, and now it's nice and incensy-smelling like the other deck.