When the cockerels hit puberty and the hormones start flowing the meat can get a "gamey" flavor. The older they are the stronger that flavor. Some of us like that, some don't. The layers who are older will also have more flavor than the store-bought chicken that are butchered at 6 to 8 weeks. It will not be quite as strong as the males that have had the hormone flavoring and have some age on them.
I use the back, neck, wing tips, gizzard, heart, and feet to make broth. I put those pieces in a crock pit with a bay leaf, about a dozen peppercorns, coarse chopped carrot, celery, onion, and garlic, plus a generous amount herbs, oregano, basil, maybe thyme, parsley, or chives. Cover it all with water and cook it on low overnight, anywhere from 14 to 20 hours. Strain the solids out, de-fat it, and you have the best broth ever. I find the feet have a lot of gelatinous material in them, really thickens it up and adds to the flavor. But like everything else, it depends on hat your personal preferences are.