Professional photographer Austin Mann took an iPhone 5s and iPhone 5 to Patagonia and put both phones through their paces. A good number of side by side shots really tell the story.
The 5S dynamic range… that is, the ability to pull detail out of the shadows & highlights in editing, is remarkably better. I’m constantly sculpting images to bring out the details I want to see… that means bringing up shadows, recovering detail in skies, sharpening where needed and more.
If the camera part of your phone is important to you, read the review, look closely at the pictures. This is a realistic review.