It's complex so simply analogies break down. If you want a simple explanation F=M * A. Wings work by pushing air down end of story. Note fan blades and propellers work the same way. With enough power you could use flat plates just fine which you occasionally see on metal fans or vary light aircraft like paper airplanes. And at speed the bottom of a wing acts like a flat plate pushing air down. The back of the wing get's complex and for efficiency you want a complex shape on propellers/fans/wings.
Now, if you want to know why wings are snapped the way they are that's Flid Dynamics and you generally use a combination of simulation and wind tunnel testing to 'get it right'.
PS: You can't pull a fluid. Straws work by having the air push down harder outside your mouth than inside. In much the same way the air above the wing is pushed down by the air above that.
"Wings work by pushing air down end of story". Nope, that is hardly the end of the story on such a complex matter. And you contradict yourself by saying that due to complexity simple analogies break down, and then go ahead and provide a very simplistic and incomplete explanation, kinda ironic isn't it?
What you propose as a solution is the skipping stone theory which is not entirely correct and is mentioned as one of the incomplete/incorrect theories on the NASA site.
Edit: I forgot but a typical counterargument to the skipping theory is the question of how can planes fly inverted then, if the wing in the standard configuration pushes the air down?
The issue is modeling individual particles is several orders of magnitude beyond our best computers so even the most accurate models used by supper computers are still approximations. Further simply measuring pressure on various places on a wing. However, that is somewhat pedantic it might be true that's why they fly, but it's not a useful model for building an aircraft. People talk about flow, boundary separation layers, turbulence, and vertices but there all just analogy's that break down.
While inverted the flaps are pushed down which changes the angle of attack. This of course ignores things like thrust vectoring etc. And most aircraft are much more efficient flying normally, with inverted flight basically just a brute force solution.
PS: So yes. F=MA (and enough processing power to handle 10^30th particles) is really all you need, but we just don't have enough processing power to physically model what's actually going on.
I believe this is because the angle of attack shifts as well. A plane that is generating lift away from the force of gravity, if turned 180 degrees on it's forward facing axis, will generate lift facing towards the force of gravity. The angle of attack needs to change so that the top side (when the plane is upright) of the wing is again at an appropriate angle of attack to generate lift. So the nose ends up pointing more skyward to get the appropriate angle.
Now, if you want to know why wings are snapped the way they are that's Flid Dynamics and you generally use a combination of simulation and wind tunnel testing to 'get it right'.
PS: You can't pull a fluid. Straws work by having the air push down harder outside your mouth than inside. In much the same way the air above the wing is pushed down by the air above that.