The change in bullet pull can still have some effect. It's not impossible you'll see a change in the second post-anneal reloading. This is part of why some folks have gone over to the automatic annealing machines and anneal for every load cycle on them. They wind up with a different load developed, but it's consistent.
BTW, have you read through
Bugholes from a Bipod? The loading method is interesting. He applies what he calls Froggy's Lube inside each case after brushing as a method of keeping bullet pull constant. It's no longer sold, but I got second hand that it was just graphite powder in alcohol. So that's another approach you could take. It will likely mean your charge weight will go up a little if you are lightening the bullet pull like that. Perhaps as much as half a grain or so to tune it back in.
Training methods in that article are good, too. A number of fellows are taking a worn case and filling the primer pocket with hot melt glue to act as a snap cap that cushions the firing pin impact for extended dry firing practice. Squirt enough in to make a retaining bulb on the far side of the flash hole.