That is what I was wondering.
What is the standard neck size? For some reason .315 seems familiar
I don't know anything about a "standard" neck size. If you look at SAAMI specs on 7mm chambers, you will find neck diameters from .315" to .323".
I can't remember ever measuring new brass that had a neck thickness less than about .0135". I suspect your necked down brass will be in the .014"-.015" range, maybe thicker. You can do the math using .0145".
Brass neck thickness .0145" x 2 = .029"
Bullet diameter........................= .284"
Neck/chamber clearance.......... = .004"
Minimum neck diameter........... = .317"