Bill123 you're right. You should learn your way through intermediate steps.
Cylinder(pin, tubing, etc) anvils don't work well for cartridge necks because of inherent donuts present.
All new cases have donuts from their manufacture. Case thickness drops from webs all the way to mouths. So necks are thicker near shoulders than they are near mouths. This is why a stop is so important.
Now with a pin resting against one internal side of a neck that varies in thickness, you can end up with 2 contact points and a gap between them, or not.. If the neck is held on axis in this condition you can end up with solid contact at the thickest point, with the rest of the neck swinging in about .0005" of wind. When you combine this with sections of neck that aren't straight anyway, you end up with more abstract than accurate measure.
With turned necks every measure gets easier and better, but the donut is still there until fire formed out, or reamed out.
A ball anvil removes these abstracts by taking measure to a tiny point. If you were to replace the anvil/pilot on your Redding with a ball anvil, you would have a faster ball mic(only with a dial)(great improvement).
The article referenced is just an article, and it's full of mistakes as many magazine articles are. They lack peer review.
This is what RIGHT looks like: