I was told yhe cornish cross chickens do not breed true since they are crosses. Also they get very crippled as they age. Too heavy for their own bones I think.
I have heard on a restricted diet they can live longer
That's what I've read and been taught by guys on the Meatbird forum. Cockerels will not survive long but if you're careful with them the pullets will live into maturity and lay eggs. The males are not physically able to breed at maturity anyways. Some of the BYC meat bird folks cross the females with Dark Cornish or other dual purpose breeds. I've seen photos of some of the results and they are quite impressive.