Dave
It's better than that. All of the modern presses take all of the modern dies. It's that standardized now. The same is true of shell holders; Lyman, RCBS, Redding, and Lee all have their designs and part numbers, but all of them will fit each of the presses.
This changes when you get to separate priming operations, with properitary designs still common (esp. Lee, their primier shell holders are specific to that), and with trimmers. It's the presses and dies that are standardized now.
Now watch somebody post the one exception!
Wayne the Shrink
There is no 'right' that requires me to work for you or you to work for me!