Animal Kingdom? Sure, tons of inventory. Animal Kingdom VALUE, especially a studio? Rarely will anyone ever be able to rent one. There are a max of 18 available, and 10 of those are lockoffs...so not only are you competing with owners over those studios, you're also competing against owners looking for 2br's.
Almost without exception, the hardest studio rooms to get for renters are actually AK Value, AK Club, Boardwalk Standard, BLT Standard, and Grand Californian...all due to very small inventories of those rooms (and low point requrements on all but GC).
Time of year matters, as well. Fall of the year through New Year's are very high occupancy times for DVC, due to (1) low point requirements through most of the fall, and (2) the holidays. First week of December and the holidays especially busy.