Nubboy -
After 20 years on the A320, don't agree with you. The aircraft behaves well OEI with the AP and A/THR ON in normal law.
The only real issue is the combined roll/yaw coupling as thrust changes. The most effective way to manage that is get the a/c rudder trimmed correctly on final with full flap. Timely selection of gear and flap will also minimise the problem.
To avoid the roll/yaw couple, it helps to keep the rudder pressure fixed and fly the aircraft on the side stick only. There might be a slight imbalance, but it makes flying the aircraft very easy.
Zero the rudder trim as you cross the threshold guaranteed of a landing.