Nothing "sucks"
Quote - "that sucks the wing up."
Reduced pressure does not suck. It is always the higher pressure which is pushing. To accept suction as a force, you would have to accept that the less fluid there is on one side, the more work it can do. Take it to the point that if, on one side of the aerofoil or whatever there was a vacuum, you would have to believe the absence of something can do work.