I have both a Hornady L-N-L and a Dillon SDB. Both presses have the priming system removed and I prime off line.
I prefer to clean my brass between resizing and reloading. Therefore, I have several priming options.
I have found that I can prime by hand about as fast as loading primer tubes and priming on the press. If I have any problems on the press due to the primer system, I have lost any time benefit of the press mounted priming system.
After I fooled with the priming systems for several loading session, i decided I was losing my patience and abandoned the priming systems as they provide me no benefit. (note, the operative word is "me")
I do not have confidence in the priming systems giving me 100% reliability.
I realize that i am in the minority and many, many folks have priming systems that work just fine. This is a time penalty I am willing to take for 100% confidence that I have primers properly seated in all cases.