Re: Concentricity gauge?
YES, definitely. In my limited experience runout is affected at least as much by brass quality (uniform neck wall thickness) as by dies.
My recent frustration is grossly excessive runout in 300 Whisper using brass formed from FGM .223 brass. Nothing I tried with regards to sizing and neck expanding improved results meaningfully. Finally pulled out my neck turner, and voila, the needle barely moved on a piece of brass that formerly showed 0.009" TIR mid neck.
Without the ability to measure you're working on guesses and assumptions.
Randy