If you are accustomed to the protections, you might not be gentle or precise with the sidestick, if you were making a relatively sudden maneuver.
I probably have over 5K hours on the A320. I am
not "accustomed" to the protections i.e. in my flying I have not once (
AFAIK) got near to them being triggered. If I did I would get a phone call
In the Sim, yes - they are demonstrated and used in a few emergency drills: GPWS & Windshear. For either of them to trigger, you need to be near the ground, something not a feature of this accident.
Apart from those 2 drills, I cannot think of any realistic scenario where an Airbus pilot would intentionally "rely" on the protections?