I wouldn't say I know a lot, just what I've read.
Here are the Two sites that I used for research.
I do know that Cortef, as you said just as well with Prednisone, is not something you want to be on long term, unless ofcourse you have Addison's, which then you have to take Cortef, and very high amounts of it. You would only want to be on it for a short period of time, to allow your Adrenal glands to recover. To my knowledge, this doens't heal the glands, just provide what the body needs. The healing process still needs to be diet/lifestyle/supplements/rest change. There was a lot of research done on this, and the book that I'm looking to get (which is expensive) but very detailed is here, by Dr. Jefferies.