I'm not sure how you define "over annealed", if the brass is burnt,toss it in the scrap, no point in risking your safety for a couple of dollars.
I have annealed brass to reform 7.62 to .243, and also other cals to prolong case life. Only use a propane torch, a catch can of water and eyeball.
I never had a case with a loose neck, only let the heat line run to just below the shoulder,and drop them into the water.
Be Safe.
BB.