Yes, I anneal. I never used to and learned very quickly that it was a mistake not doing it for all those years. I do not quench, it is not necessary, and it just adds extra time because they have to dry.
I started using an indicator but stopped after I timed the process in seconds. Now I just use a timer and watch the seconds. I now anneal after each shot as this is the most uniform way to do brass prep. I size prior to annealing. I don't honestly don't know how much effect the stress relieved brass has on accuracy as compared to sizing after annealing.
In either case, I'm guessing that the neck tension would be consistent so long as the process is as well. I can tell you that I have had no problems getting precision and accuracy that has exceeded my expectations with the process I use which is annealing as the last step before priming and powder charging.
All of the brass I use: Winchester, Federal, Lapua, Remington, and Norma all take from 6 to 7 seconds depending on the caliber. For example, it takes right at 7 seconds for the 7mm RUM cases (for my 270 AM), and 6 seconds for the Winchester 270 cases. I don't believe there'd be any damage to any of them, over or under annealing if I just stuck with a flat 7 seconds on all.
I use one torch and it is not MAPP. I think that torch gets too hot too quick. I think annealing should be a bit slower for more uniformity. Just a guess, though.