Welcome to BYC. The hybrid high production birds do burn out faster. Many develop reproductive tract problems leading to their deaths. Heritage breeds, bantams, game fowl can and do live into their teens.
While living into their teens is possible it is the rare heritage, bantam, or game fowl who lives that long. All chickens go down hill once they reach 3 or 4 years old. The truth is that hybrid chickens are as a general rule more healthy than their more inbred brothers and sisters.