You're given a bow in Far Cry 4 almost immediately, and it's the most enjoyable weapon in the game.
The last Tomb Raider game was improved by its bow. Far Cry 3, likewise, had a great bow.
A good bow, properly implemented, can improve even mediocre games, as Crysis 3 showed us. It was a great weapon in The Last of Us, once fully powered up. If a player would like to feel like a total badass and there's a bow in your game? They have a destination. The bow is aspirational.