Bill,
This is what I do:
1. I lightly neck turn to only shave off high spots on my neck wall.
2. Fire form case to get dimensions to fit my chamber.
3. Neck size 3/4 of the neck and leave the remaining 1/4 of the neck to center that portion of the neck in the chamber.
At this point I need to point out that you can oder various bushings to compress your neck a certain amount. You have to measure your chambers neck diameter and then get a bushing that will reduce your cases neck diameter by .003. (Read Reddings recommendation on this, I'm going from memory) What you want to do is deform your case neck as little as possible. The more you compress it the more chance there is that it will go out of round from the perfect fire formed condition. Also, the less bending the longer you cases last.
Now, why do your necks go out of round from the fire formed perfect condition. Because the neck case material is not 100% consistent. One side may be harder then the other and the softer side will bend/deform easier than the hard side. result, you go out of round by the amount that you are compressing the brass. So the less compression/deformation, the less out of round variance you will have.
Since the "S" bushing floats, it does nothing for concentricity. If the brass material was 100% uniform, it would follow that you would get 100% concentricity on the compressed portion of the neck. But sorry to say nothing is perfect, chaos rules.
Would a button expander help. No! It sits near the bottom of the die on a flexible shaft.
Would a full length resizer die do more for concentricity?
In theory yes. But remember, Chaos Rules! The runout tolerances in your die between the case body and neck are, who knows what.
If you want to tame chaos, you need to have Kirby make you a die with the same reamer that he used to make your chamber.
Good day,
Victor