Of course, I haven't read the draft rules yet, so maybe I'm misunderstanding.
But where I see the FFG webpage say each player needs one Draft Starter and one Draft Pack, it seems like that's it, period. The draft process will mix people's Draft Packs together, and then, win or lose, you walk away from the game with a new pack: the one you drafted! The only reason to buy a new draft pack is if a series of bad drafts degraded your original one into an incapable-of-winning state of decay. Draft play wouldn't be about getting all 240 cards. That's the regular LCG constructed-deck approach.
Now, in competitive draft, sure. Everybody would have to start with a fresh draft pack. And I'm sure FFG would be happy for players to buy a new draft pack every week, just for casual draft play. But that's now how I envision playing it.