Well, the answer is in the list of shell plates to be had for those presses. If they make shell plates then the press will handle them. So clearly they will since they do. The list of available plates for the Dillon 550 and 650 looks like it has pretty much everything on it but 50BMG and AIM9 missiles.....

And I'm guessing that if you look up the Hornady shell plate list that they are the same.
For my own rifle loading the only round that I'd be interested in loading progressively is plinking rounds for my .30-30. And if I ever get an AR'ish clone I'd load the 5.56 on a progressive in a blink. But the rest of my rifle loading involves sets of brass that is dedicated to one rifle because it's fire formed to that chamber and I neck size only. I also drop and trickle each charge onto a scale for those rounds as well. So all in all those steps just aren't that compatible with a progressive press. Or at least there's just no real advantage.
I suspect that the guy that told you it's a bad idea does much the same for his own rifle loading and that's why he's against it.