Money as understood by economists is not physical currency (coins, notes, etc), but an emergent property of the institutional use of IOUs of various kinds, like debts and fractional reserves. These also exist in the bitcoin world, and have already caused problems— How long did MtGox operate without reserves? Does Bitfinex actually have the reserves it claims to? If Bitcoin were immune from the problems of fiat currency, these questions wouldn’t even make sense to ask.