In particular,
- any Oath deck is definitely running green, but may not be able to reliably generate white mana. Even in decks running Sun Titan and a fetchable Tundra in addition to the Orchards, the Tundra competes with other color priorities (red, green).
- Beast Within can hit artifacts, enchantments, and lands. This gives you an out in circumstances that may otherwise be very awkward (surprise Leyline of Sanctity out of the opponent's sideboard, a Grafdigger's Cage or Sorcerer's Spyglass you need gone, Karakas when you are running a Legendary Oath package, an opponent's Oath in the mirror when you have lost Orchard superiority, etc).
- Beast Within can get rid of your own Oath, in the occasional and very awkward situations that it has started doing more harm than good.
- The beast is smaller and doesn't fly.