Ah! Chickens will feed themselves totally, if given enough free range. The layer pellets are what cheep and lazy farmers give chickens, so the rich diet supports more eggs. There is very little calcium in free range, and other than bits of stone or cast off shell, chickens can become deficient, and lay snake eggs with no shell, or slow down and lay thins, that can break at a touch. By super charging the diet, you remove these problems.
I dont feed shells back, it is said come chickens will then raid and break the nest eggs, once they get the taste for cannibulism, it is hard to break. I monitor the shells , and only have one cage that gets extra oyster shell with the feed. I have found that the girls like the shell too much and overeat it, so I limit it somewhat. Thin shells from one pen respond in just a day or so with better shell, always on layer feed.
Remember, healthy , well fed, will produce the most eggs. Anything that disturbs their world will disturb production.