What year was this?
Lee says the Classic turret uses the same primer arm as the single stage
Part BP2889B for product BREECH LOCK CHALLENGER PRESS, BREECH LOCK CLASSIC CAST PRESS (Code=90999), CLASSIC CAST PRESS (Code=90998), 3 HOLE TURRET PRESS (Code=90496), 4 HOLE TURRET PRESS (Code=90932), and CLASSIC TURRET PRESS (Code=90064).
leeprecision.com
The Lee turret always has that movement right out of the box, it's repeatable enough for pistol ammo or general rifle. If you wanted precision rifle ammo the Lee turret is the wrong press for that. You not using it for the appropriate purpose doesn't mean the press sucks.
I will give you this, there's not a lot or real estate in the Lee turret.
You want precision, hard to be the Forster Co-Ax and die changes with that takes seconds.