Here's some research to backup whether to anneal or not:
Induction Annealing Case Necks | See Our Research | AMP
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You’ll never see the advantage unless your a LR shooter. Consistent neck tension will help minimize vertical dispersion at long distance, in a well tuned load.
If you’re a hunter and never shoot past 3-400 yards it’s a waste of time.
I'd like to read that if you can find it. I have researched the subject of annealing fairly extensively and it seems to be the most debated step in the reloading process. Furthermore, there is no concensus on methods, proper procedures, or effectiveness of even doing it. That is, IF you are even doing it "right"?? Due to the overwhelming lack of agreement in the reloading community is the reason I have not spent the money on my own annealing machine. I really want to, I'm just not convinced its worth the coin... YET. I just started using a cleaning and annealing service to see if it helps me with consistency and accuracy. Time will tell.I read what appeared to be some pretty solid scientific stuff on it recently that really made me question its value, and whether it really does what people think it does. I'll see if I can dig it up.