UncleGrumpy, regarding your comment:
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It is a cam over press in which you are supposed to have the sizing die down tight on the ram and then lift the handle a little screw the die a little more to make sure the slop is gone.
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You're not supposed to have the die stopping the shell holder's upward movement and the linkage camming over unless you want to full length size a fired case back to the specs the die maker thinks is best. More often than not, that's way too much sizing. The case shoulder's gonna be set back too far every time that case is full length sized and that'll soon lead to incipient head separation. Standard full length sizing dies are made that way so fired in them will fit all rifle chambers made at minimum SAAMI spec and perhaps a bit shorter.
Best thing to do for safety and long case life is to back the die up a few thousandths such that the fired case shoulder's set back no more than 2 thousandths. But you'll need a case headspace gauge to measure the case headspace; once before it's full length sized and again afterwords. The difference is how much the case headspace has shortened.
This is why Redding makes those shell holders with different heights in .002" steps above the standard .125". Use the one that lets the press linkage cam over slightly on the die but not set the fired case shoulder back too far.
There's enough slop in the shell holder's dimensions to let a case well align with the die's center anyway.