Let’s see if new iPhone 5S camera is much better.
White balance of complex scene is much better due to two colored LED flash. So there is no more unnaturally yellow backgrounds on indoor shots with flash. See example below. Right is iPhone 5S, left is iPhone 5. Also note blue shadow behind the object. Two color LED flash has disadvantages.
An a everyday shots there is not much difference found. See example below. Upper image is iPhone 5S shot. Lower image is iPhone 5 shot.
Low light shots show some noticeable difference. See below. Upper image is iPhone 5S shot. Lower image is iPhone 5 shot.