[First, you might find this useful if you haven't seen it already:
Dillon vs Lee vs Hornady Or “How I spent my Winter and Then Some"]
I couldn't convince myself that either of your leading presses could produce ammo to the specs you want for "precision rifle". Watching Youtube videos of actual reloading showed slop in the toolhead, often angular in nature (due to unequal upward pressure/timing at each die station). Some folks claim it's all "self-aligning", but most reports I read showed the Hornady AP produced rounds with the greatest concentricity. Youtube videos of the LNL AP in action show no slop at the toolhead, so this "confirmed" that trait for me. YMMV.
The Dillon 1050, however, shows no slop at all in any direction in any videos I saw.
While there are fans of all machines (duh!), the powder measures on the RCBS and Hornady are "quite similar" and generally felt to be the most consistent, at least according to my research. However, they all throw powder by volume. Whether that will suffice for your definition of "precision rifle" is your call.
Personally, a dispenser scale fits well in my own rifle reloading process. I tumble rifle brass after sizing, so for me there's not as much to be gained by using a progressive press to seat and crimp as there is on the straight-through pistol process. On charges up to (eg) 30gr, powder charge #2 is ready before I have seated and QC'd the bullet over powder charge #1. This approach simply must yield higher levels of accuracy. Whether that's important, or whether you need it or not is your call.
The Lee Classic Turret has a great deal of (angular) slop in the toolhead compared to other presses. You can also buy a dozen of them for the price of a 1050 lol. To me, it is the proof that phrases like "self aligning" and "the toolhead is always in the same position at the top of the stroke" just do not tell the whole story. If the LCT had 5 holes and didn't require 1200-1500 ram strokes to do 300 x 45ACP, I'd probably still be using it for pistol.
Bottom line, I stopped using my LCT, and bought a Hornady LNL Classic and a Hornady LNL AP. (Note that these two presses will not allow the quick-change use of the same dies without readjustments.) The classic does all my rifle, and the AP does all my pistol. My rifle ammo is now much more consistent, and I believe I have the tools to refine it further. My pistol ammo now requires at least 4x less work, and I have room on the press for a powder check die and the FCD.
And I didn't break the bank. YMMV
