My understanding is that the inherent rarity of some cards is actually part of the game's balancing. If everyone can have every card (or worse,
multiples of every card), then some vaguely game-breaking cards, or combinations of cards — that normally don't matter / aren't theory-crafted, because of their rarity — would suddenly be everywhere, in every tournament deck, creating a "dominant strategy" for the game, in turn necessitating those cards be banned. Even though those cards/combos would have been perfectly fine and fun and not-broken, had they stayed rare.
(Or at least, that's how MtG was originally designed to be balanced; I think this may have changed with MtG Online.)