Lemurian, you either can't or don't choose to understand what I said.
As previously stated, the A320 is just as dependant on pitch trim for pitch control as the 737.
Given the size of their elevators and the travel available in comparison to the stab, it couldn't be any other way.
In the Airbus this is (in normal law) always done automatically, so will perhaps be at the periphery of your awareness, whether flying manually or in autpilot.
In the Boeing you have to do it manually if you are hand-flying, in automatics it is difficult to ignore due to the proximity of a great big wheel whirring noisily round.
You "could" therefore be more peripherally aware of the activity & therefore need for, pitch trim in most phases of flight in a 737.
Do you see any reason to dispute that simple statement.