Lopsided was a bad statement of my problem. When I trimmed the high spots off, the trimmed spot was thinner than the low runout spot. Expensive lesson but now I think I got it. But, what runout do you tolerate before neck turning a resized round? Thanks for your help!By "lopsided" do you mean that the neck thickness varied? Concentricity of the neck to the body is what most people mean by concentric necks.
When you FL size the neck OD will be concentric with the body (less than .002" t.i.r.). If the neck wall varies then the bullet will not be centered with the bore when the round is chambered. That is why you turn the neck. The neck turner pilot follows the neck ID as it cuts the neck wall. Then when you FL size the case again the bullet will be in line with the bore as the neck OD and ID will be concentric with the body.