Seems to me like a lot of extra work, but OP, you can try it out and if it works for you that's great. Anymore, I just use an RCBS X die for bottleneck cases. No more trimming, and the cases last a long time. Set them up for the shoulder setback you desire, and enjoy.
Years past I would anneal on the 5th firing. Simply heat up the old bullet caster and hold the case heads, dunk them in the molten lead to a point just past the shoulder, and once my fingers begin to get hot, drop them in a 5 gallon pail of water on the floor beneath the bench.
If I start with good quality cases, I can make 100 Lapua brass last for many, many firings, so long as I don't use max loads. Some of my cases I can hardly read the headstamps anymore. But the primer pockets are still beautiful.