The exact same problem is found in sailing:
"Popular concepts as to how sails generate lift, and how two sails interact with each other are discussed in light of modern aerodynamic research. Much of the old sail theory in the sailing references is shown to be wrong." 
I'm reminded of perhaps the most excellent 30 seconds in all of ground school instruction:
His joke aside, it illustrates an important point: there are a variety of ways to produce lift. For example, when one observes a jet overfly the runway during an airshow, holding its altitude while on its side, the engine is the source of the majority of its lift in that scenario.
(Edited for clarity.)
In an airplane, by reducing L/D enough you decrease the necessary power (which indirectly produces its lift) needed to overcome the combined weight of the aircraft (wings/body/powerplant) generated by gravity.
I.e. air cannot "pull" anything anywhere.
So the depression above the wing is indeed "pulling up" the wing more than the surpression below the wing is pushing up the wing.
So no, the top of the wing is not pulling the wing upwards. The air beneath is "blowing" the wing upwards.
Also terms like "push" and "pull" really confuse the mechanics here. What matters is that a net upward force is being generated, with positive pressure acting on all sides of the airfoil. There is more pressure acting upon the lower surfaces than on the upper surfaces, but at every point the pressure is positive because it is surrounded by fluid (not in a vacuum). If you integrated the pressure acting on a lifting airfoil and computed the average direction, it would be pointed up.
That's. . . impressive.
OP PDF is link 2 ("Airfoils and Lift - Newton's Law"), but as text/html. The other links look very informative, if they're anywhere near the quality of the OP text, it will make for fascinating reading.