No, not good enough. Each bank chooses different exchange rates. Using a converter gives you a spot price from one institution. There's no telling what the customer will actually be billed. Indeed there's no certainty that the transaction will even be journalled that day. Moreover, they'll be slugged for an "overseas transaction fee". Finally, it means you're unable to use any kind of collateral that quotes a price, because you can't guarantee it.
It's a marketing disaster, in fact, and would look completely amateurish.
Paypal is never Plan A.