I presume that your newly formed necks are actually what used to be shoulder on the parent brass - so likely thicker stuff?
If it helps, I looked at the SAAMI drawings for cartridge and chamber for 350 Rem Mag. There is a note on that sheet that all diameters are + .002" - so I presume the actual acceptable dimension is the dimension given, as minimum, with additional .002", as maximum.
For the cartridge, it looks like they call out a neck that is 0.388" with a bullet seated - the same diameter at case mouth as at case neck meeting shoulder.
For the chamber, it looks like the case neck at the shoulder is called out as 0.390" and at the mouth of the case neck is 0.389". So, using their minimum dimensions, looks like SAAMI wants minimum of 0.001" clearance between a loaded round's neck, and the chamber at the case neck mouth, then 0.002" clearance where the neck meets the shoulder. I have no clue what actual dimension your chamber is - but I suspect that 0.001" / 0.002" clearance is what you should be after?
For those that do not know, the "old school" sizing die with the expander ball, will scrunch the outside of the neck to be too small at the top of the press stroke, then pulling that expander ball out is supposed to open out that mouth to be concentric and the appropriate size for seating a bullet. So, one could play with the diameter of the expander ball, to get variance of "neck tension" on that bullet. Versus more "modern" bushing dies, that size the inside hole by pressing on the outside of the case mouth only - I would think that very much relies on the neck wall thickness, to end up with desired "tension" on the bullet.
I notice from your picture that you are measuring an empty case neck - it might be significant that the SAAMI drawing shows dimensions with a bullet in the neck - from various references here, I think the case neck gets "stretched" circa 0.002" when a bullet is seated - I am not sure what that translates to for increased outside neck diameter. But, as you found, idea is to get the round to fit snuggly to that chamber - whatever the actual numbers might be.