I thought wild chickens were more on the line of gamebirds- slim, athletic and fast. Not like the fat, spoiled yard candy I have (see avatar).Wild chickens, the original Jungle Fowl, are small, hens may lay 30 eggs each year, and they live in SE Asia in the tropics.
Our modern birds are larger, might lay 300+ eggs each year, and live on property that's nowhere going to meet their needs.
Home made diets are difficult and expensive to balance, and of course your birds like their goodies instead of their pelleted complete feed. I like strawberries and chocolate too!
Get a complete feed, like an all-flock feed, that's fresh by mill date where you shop, and offer oyster shell separately. then offer limited goodies, so they are getting all the nutrients needed.