@Kris5902 back when I was young and raised the meat birds I never named them. All of the "permanent" members of the flock had names. That doesn't mean I didn't notice their unique personalities and appreciate them for who they were. No one told me to not name them. I guess I just inherently knew not to get too attached. They had great lives but the end purpose was pre-ordained. I think I understand a little of what you have to deal with.
This site is great in that we're have pet owners, people only interested in eggs or meat. And those like you that find themselves in a little bit of a grey area. We all benefit from everyone's point of view.
I would say that you are an exceptional chicken steward. All you do for sick ones is beyond what someone simply interested in meat and eggs would do. You are simply amazing. Then the concern you show that they have a great life, however long it is, is inspiring.
Keep up what you are doing. The chickens in your care are truly fortunate.