The trim wheels on A320, A321, A330 make no discernible noise during flight - at least I have never heard any. Sometimes on taxy in after landing one can hear a faint noise, as the horizontal stabiliser is automatically reset to the neutral position.
The Airbus trim wheels do not move as much as a Boeing's, which from memory, (am not Boeing rated), whiz around quite fast and quite a lot. Airbus trim wheels normally move relatively slowly and not as far; usually between 30 to 100 degrees at a time - I guess the gearing is different?
The Airbus trim wheels command hydraulic motors which actually move the stabiliser screw jacks. Perhaps Boeing's trim wheels move the screw jacks directly and therefore need more gearing? I don't know.