Yes, they specifically said that the Empire is rounding up force sensitive children, which would include Leia were she discovered. Were they to find Luke and Leia without knowing who they really are, I seriously doubt either would be getting a pass over as a "curiosity." It certainly did not sound like anyone was getting passed over.
That was not really my point though. If she is supposedly showing now, why was she not showing again and no one knew or sensed what she was in Episodes IV, V and VI until the very end? It is like her force sensitivity comes and goes on a whim.