There is currently no difference in reload speed when drawing shells from the bandolier as compared to general inventory.
This means that the bandolier is only useful for carrying a few shells at the expense of encumbrance, as opposed to other pockets (ie. ankle ammo pouch, chest rig) which allow for more rapid reloading.
This honestly sounds correct – reloading from a bandolier could even be more cumbersome, as each shell is in a different spot. It’s purely to distribute the weight/bulk of the ammo–and it looks cool as hell!