My Lyman turret press has some slop, it has a locking mechanism to stop the turret moving, I have found it better to allow this movement. Also the shell holder moves to find its own centre, took the clip out now has an O ring allowing slight movement. The ram itself has a wee jiggle at the top of the stroke, which I use when seating, I start the projectile then turn it 180 degs and finish the seating, giving it a slight jiggle at the finishing stage. I do use benchrest seating dies, foster & redding - they are excellent. Don't put up with anything over 1th ran out, hunting ammo included. So slop and self centring can be you friend, so play around & find what works for you.
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