1) you can't repair the bow w/ infinity, so you save xp and enchants using mending, 2) you can make farms for the sticks/feathers/string needed for the bow and arrows and you can get loads of flint from gravel which can be found in both the overworld and nether, 3) you don't need to play the villager game again to get an enchant book you'll only use on one piece of equipment, 4) bows are used to fight, and killing mobs gives xp that will repair your bow, and 5) bows aren't often used, so you won't need many arrows.