I find that even a loose press can make great loads, if you use a case/round to align the die to the shell plate. The press can float quite a bit, as long as the die/shell-holder is aligned.
IF you want to minimize run-out (which I haven't found to be a PRESS issue), you need to ensure the seating stem is aligned and coaxial to the case and EXACTLY fits the bullet (as low down the ogive as possible). Most seating stems are not really aligned--they were just screwed in and that was that--not even a matter of leaving them slightly loose and running a good round up and then setting the seating stem to align to the good round before locking the stem down.
The real accuracy freaks use an arbor press (often, a rather inexpensive arbor press) and custom dies made to match the rifle chamber. The DIES and parts to the dies that make the difference.
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