Hornady could easily fix the problem by making bullet feed dies for rifle cartridges like they do for handgun cartridges, but have chosen not to.
I think the fact that you have to feed the bullet up into the die is a likely reason why they do not make a rifle bullet feeder, it would be pointless if they just got knocked off moving to the seating station.
The only bullet feeder that I know of that feeds and seats at the same station is the GSI and they only make them for Dillon machines.