Makes no difference. Just note that the part numbers for given case heads are different between brands.
I.e.: #16 from RCBS is 9mm Luger but #16 for Lee is 7.62mm X 54mmR and Redding #16 is 11mm X 60mmR Mauser. Not even close.
Note also that non-press shell holders, like the Lee auto-prime, don’t fit reloading presses.
Final note: I don’t know about turret presses or Dillon equipment, but RCBS, Lee, Lyman, Redding, Hornady, Pacific interchange for single-stage press dies and shell holders.
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