Lets suppose i have one account for rent, one for utilities, one for the car, one for travel, one for.....
Its great i can have N accounts, each gets an iban, so i can tell vodafone bill this account and just those bills appear on the statement.
Then i print the statement each month, and now I have to know account number 1234 was for the car, and 4321 was for my mobile etc.
It would be easier if this 'internal' name had the option to be propergated to the statement.