The store bought starter decks that you import digital codes to arena (Final Fantasy and Bloomburrow) should be playable in the Starter Deck Duel Event. That is where most people complete their quests. It allows new players to see these starter decks and encourage them to buy the set kits, packs, etc.

Currently I own both starter decks and I find it difficult to play them in standard play or ranked. Having them playable in Starter Deck Duel will allow more opportunity to play a basic deck in hopes to be 50% winrate vs other starter decks as opposed to 10% vs izzet, landfall, aggro white, etc.