CMpilot1: Airbus write checklists to cover multiple scenarios.
In your case 1 why do you think they would require 1 degree of bank if the offside pumps were still functional? The answer is you wouldn't need any bank if the pumps were working.
The QRH has been written to also cover your case 2 - improbable as it may be!
Thus the bank angle introduces a pressure "head" difference between the two wing tanks and allows the fuel to transfer via the cross feed valve. The QRH goes on to say increase the bank to 2-3 degrees if the imbalance is getting worse.
Airbus have a variation on this cross wing fuel transfer using bank angle on the A330 to get around the failure closed of the cross feed valve. Slightly different plumbing but same principle.
As others have pointed out - this is a very unlikely scenario on a A320 operation.