It doesn't need to handle much to be a large market because international trade and foreign exchange are so huge.
If btc replaces 1% of fx it's doing $50B/day of transactions. Market cap of btc is only about $600M, so 100x btc is not crazy.
Is a p2p transaction system with an auditable record attractive to 1% of fx transaction parties? Seems reasonable, especially when corrupt states are a counterparty.