ChickenShed Mod (1.19.2, 1.18.18) allows chickens periodically to shed a feather. You can time it with a chicken laying eggs.
This mod is simple and only two-class. It makes chickens shed one feather every now and again. This mod guarantees that chickens will lose at least one feather upon their death. Baby chickens are now guaranteed to lose at least one feather on their death.