We fetched a 321 back from TOU after a tailstrike repair last year. On the return, I noticed that something was not quite correct..........
The rudder trim was hanging out at about 3 units of trim - rather unusual and the beta target was split (slip ball).
Fortunately we had an engineer on board so we took the autopilot out (shock, horror) and experimented with various trim settings DFDR ing as we went.
Later turned out that there was a miss rig somewhere and it got tweaked in the hangar.
So, to recap, yep, you notice a bent aeroplane with FBW if you pay attention