What presses and dies are you using and general equipment recommendations.

[centerfire]

Part reason why progressives produce less accurate ammo is because of the inbuilt run-out.

Dillon is the same.

If you set up a 550B or XL650 correctly that is not true. The case indexes off of the face of the ram, not the shell plate. While I don't advocate loading precision on a XL650X because of how it auto advances, you can easily produce ammunition with minimal runout on a 550B. I use my XL650 to batch process precision cases and when it's all said and done I get about +/-.001 run out at the ogive. I deprime, size, and mandrel neck size on the XL650. A buddy of mine competes nationally in F Class and he uses a 550B exclusively. The Co-Ax is the best single stage though.