You shouldn't need to wait for a day, instant transfers have been a thing for a while now. Unless you're in terribly bad luck to be stuck with one of the few banks that are lagging behind.

International money transfers, even between currencies, now take seconds whenever I do them.

The "map phone number to bank account" services do make this whole thing a lot easier, but on the other hand I kind of don't want to help scammers by giving them the option to look up what bank they need to pretend to be before dialing a number.