I used to work with a gent who had children who did chickens in 4H. His chickens free ranged all day, and part of their territory was his compost pile, which they regularly spread out for him. They were going after the many many worms and bugs in the pile, and I've never seen such rich dark yolks as his eggs had, and the taste was glorious.
My eggs right now are nothing like that pretty, but my girls are also only on feed, since my yard isn't cat proof, and a stray tom chased 2 of the girls up on to a boundary fence, so, no being out with out me being there with them, and not until I hen-proof my veggie bed, and fix my fence. A whole lot of my pots of plants are going to need protective chicken wire collars to keep them pretty before my girls get out of the run again.