If I remember correctly, the canard pretty much overlaps with the main wing from the point-of-view of the pilot. Regardless, the canard is not positioned directly to the sides of the pilot, so visibility during approach and landing is a non-issue.
Of course the canard adds to the total lift created by the main wing and does in fact figure into the wing area of the aircraft, one of the many efficiencies of the rear main wing with canard control for pitch, as it adds lift is also creates vortices, which wash over the main wing and create additional lift aannnnnd, DRAG, but whatever, it has adherants, it is obviously a fine system, and the recent RED FLAG, where the Typhoons met the Raptors was very instructive for everybody, and everybody went away impressed with the other guys toys.
Now the conventional configuration with the Central main wing and aft mounted horizontal stabs also has its efficiencies, but it does NOT add to the overall lift of the aircraft, IMHO the FCS is much simpler, but that is my mark I analog data systems analysis, your digital kids may have a different take. brat