There is a phrase you should break up, in your head: "peace and quiet." Sometimes things seem chaotic that aren't. Sometimes peace can be noisy. Those toys in the photo were making zero noise.
The most rewarding benefits to our unschooling are the ones that are so much more difficult to describe. The soulful gazes, all the giggles, the joy, the "being in the moment," the connections, the love, the peace (very noisy peace), the flow of life (looks chaotic unless you're in it), and soooooooo much more.
For children to learn from the world around them, the world around them should be merrily available, musically and colorfully accessible, it should feel good and taste good. They should have safety and choices and smiles and laughter.