I've never had a case problem of any sort. My brass will last the rest of my life, and/or as many barrels, cut with my reamers, that I use.
This makes the cost of any brass meaningless to me.
I don't measure neck tension(grip). There is currently no tool that does this.
I measure seating force with a hardened mandrel from necks that are consistent in friction (carbon film present). When hardness changes(from initial lead dip stress relieving) I get a big step change from normal. I get necks that are weak in springback. But that's alright, a few fireforming/sizing cycles, and all settles to normal.
Now the 223 brass for my cooper is not turned, and there is a small bit of thickness variance there. ~1/2thou total. I'm sizing it pretty good and I see small variances in seating force measure with a few out of 50 I reload at a time. SO far I've been able to adjust to match by tweaking length of neck sizing. No problem yet, but maybe I'll tire of this if it turns into a problem trend.
I'll either lead dip to start over, or go to Lapua's newer brass at that point.
I have never tried frequent annealing, as I don't picture any good in it over my approach. But I can picture bad in it easy enough.
Annealing takes the stored springback out of your brass. Springback is all that grips bullets(not interference fit). When you reload you WILL expand necks, but bullets make terrible expanders. So necks should be pre-expanded to proper interference prior to bullet seating.This also pushes thickness variance outward, allowing straighter seating. When your seating forces to get too high, due to downsizing annealed necks without follow-up pre-expansion, seater stems wedge onto bullet noses and your seating depths go all over the map.
But, pre-expanding annealed necks for proper interference may not leave enough bullet grip, because there is lower springback to grip bullets with. Adjustments for this mean over sizing, under expansion, and the tail chasing begins..
Now you can develop a load with very light neck tension, caused by frequent annealing, but you won't have as many options to the tuning. Good for benchrest -when you don't need many options, bad for hunting cartridges, where you usually do.
I fine tune loads with tension adjustment(length of neck sizing), as set through seating force measurement -vs- results. Frequent annealing would mean giving that up at least, and for no more reason than a bandaid on poor planning up front.