>Somebody correct me if what I'm doing is wrong. Please.<
How could it be wrong, Beecher? It works for you. That makes it right.
Only difference is that when roasting we like to do them breast up to create more of the crispy skin.
When roast chicken is in the offing, though, we buy birds specifically for that. Otherwise we work the reverse of you. Watching the sales, we buy three chickens at one time. These are then partially or completely broken down, depending on our anticipated needs. That is, we might just reserve the breasts, or just the legs, etc. Wings are always collected in a freezer bag. The rest is used for stock.
When making stock, the chicken, itself, only remains in the liquid the first 40-45 minutes. We then remove it and strip the meat from the bones, which get returned to the pot.
When we're done what we have is any raw pieces we reserved, a big pile of poached chicken, and 7-9 quarts stock. Plus the accumulating wings. Typically this results in about 18-24 meals (i.e., portions) from the three chicks plus the eventual wings meal.