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Yes, the first pick alternates between each "pack". So whoever picks first from the first set of 8 cards will pick second in the next set. This should lead to bother players ending up with the same number of cards and both getting a chance to have a first pick.
Also, how do you decide first player?
We houseruled that after seeing the content of the first pack, the high roller decides if s/he wants first or second pick on that pack. The low roller then decides after the draft if s/he wants to start the game or go second.