Its a well known fact that stags follow the brood hen and pullets follow the brood cock its sex linked trait you will see this first hand when you put a red cock over grey hen, we all no for the most part this produces grey stags red pullets now this is only colour sex link but it does give an insight to what other genetics are passed on I would agree that you can get above average producing hens I have had two of these such hens over the years and when bred to average brood cocks produced far better stags than there popa,but back hen /cock I do believe you should breed the very best you can g