I used to believe that too. But winged-flight comes from air displacement, not because of the Bernoulli effect on a shaped wing. This is e.g. why planes can fly upside down.
I suppose it depends on the type of wing it is (asymetrical or other) and the angle of attack.
Actually, it comes from a combination of both.
The 'kite effect' and the Bernoulli effect BOTH provide lift.
Airliners have Flaps on the rear and Slats on the front. The flaps generate most of their lift from air displacement, and the Slats provide most of their lift by changing and adding to the curve of the wing to increase the Bernoulli effect.