Please correct me if I'm wrong.
I've always thought a wing would stall at the same angle of attack (give or take) regardless of flap.
AoA is the angle between the freestream airflow and the chord line (effectively a straight line between LE and TE). By lowering flaps and maintaing the aircraft pitch you are automatically increasing the AoA. And hence it is at a lower pitch attitude that an aircraft will stall.
If, as has been mentioned, they can compensate for flap settings then yes it could be useful.