I don't understand this. Many backup code lists do print with very limited or no information on the account they match. But what is the need for this cloak and

I don't understand this. Many backup code lists do print with very limited or no information on the account they match. But what is the need for this cloak and dagger? A backup code is only one piece of the puzzle and can easily be stored securely, "secreted away" if you will. If I don't label my backup codes with account information, how do I know which code to enter when recovering an account? Trial and error across 20-30 scraps of paper?