Thread: Bad Reloading Press ??

My Rockchucker is also pretty wobbly. I like to think that it assists in self-centering, much as the floating dies in the Forster Coax. If there is absolutely no runout then you'd have to be pretty damned sure that the press machining along with the dies were absolutely concentric.
I've even read of some in the States grinding down the shaft in the RCBS to add in some wobble for just this reason. To take advantage of any wear/self-centering you'd need dies that fit the brass in a way where the dies align the cases prior to, and during, the sizing or seating process. Redding Competition dies might be an example. Perhaps your dies are not doing this and allowing the press ram to dictate terms?