Correct as in no fees. Incorrect in that Paypal incorporate a lower exchange rate. PayPal keeps as little as 2.4% + $0.30 of the transaction FROM the seller's cut. PayPal actually charges exorbitant exchange rates to make extra profit.
I'm fairly certain this is also incorrect. If you have a credit card attached to your account AS WELL as a bank account, only then will PayPal pay the seller instantly because they know they can always snatch from your credit card if your bank account doesn't come through.
Paying with a credit card is always instant though.