I have an older version of the Lyman press from the early eighties and I too have noticed the turret movement on rifle cases. I just use that one for decapping and pistol cartridges, works fine for those items.I started reloading as a young man on a Rockchucker but thought I "needed" a turret so switched to a Lyman T-mag. That didn't last long as I could see it rocking as it sized the brass...to be fair it was their original version and they have since taken care of the problem on later versions. I went back to the Rockchucker for many years but did switch to the Rockchucker Supreme about a year after it came out but both worked fine for most everything! I have always been happy with the quality ammo I have produced. As mentioned earlier, techniques are the most important part...knowledge is your friend!