I'm feeling a little malicious tonight, so if you don't mind, I'm gonna get my Crayons out now.....

Okay, I'll admit, I took a little artistic license with the airflow but more importantly notice how easily path length is altered with a small change in relative wind.
I'm not sure i get the point, there... although I am clear on your postion in The Great Lift Debate ( I think)...
What's missing in the first pic is what the airflow under the "flat bottom" wing is doing... it's not like that hard corner somehow stops air from flowing under the wing.
Regardless, however, that nearly-symmetrical airfoil shown in the second picture would need a bit higher A of A to get the same amount of lift as the first shape (assuming the same A of A and airspeed). in your diagram, it'd be nearly stalled, except maybe at an extremely high airspeed. But we also don't know the loading of this wing or its aspect ratio... so whatever.
I would never say Bernoulli's
theorem doesn't figure into it at all... it does, or at least it appears to, but I am convinced that Newton's
law and Coanda's
(verified) effect have a lot more to do with the lifting properties of an inclined plane than path-length differential alone, with its effect on pressure.
And I can prove it.
Let's put it this way, for the Bernoulli fans: so far, no experiment has verified pairs of molecules arriving at the leading edge holding hands, parting company with the promise to meet up at the trailing edge, then altering their respective velocities in order to keep their scheduled date.
Not saying it ain't possible; just saying I don't believe it's been verified... hence the term "Theorem", or "Theory".
Newton and Coanda, however, enjoy the status of law-definers: their theories have been verified as fact or law, without fail, over and over again.
I know there is acceleration of airflow over the top, which of course leads to a pressure differential, but it's the motion of the mass of air off the top of the wing , down, and back that makes the real difference. Tweaking camber for enhanced pressure differential, or changing the planform or length of a wing... these can help improve efficiency, but not in all cases at all speeds. Change the A of A, however, and you get results, no matter what other variables are present.
Consider turbulent air, such as you see above a stalling wing: isn't turbulent air faster still? Isn't the pressure of a volume of turbulent air much lower than still air or air that is flowing in only one direction? Sure, the non-linear nature of turbulent air keeps Bernoulli's paired molecules from meeting on schedule, but even Bernoulli would tell you it's not so much the "paired molecule" thing as it is the pressure differential... right?
Which brings us back to the bottom line: if it isn't primarily "downwash" (and by this I do NOT mean air "bouncing" off the bottom of the wing, but air forced down off the top) that keeps a wing flying, why is it that any wing can be stalled at any airspeed if the A of A is not within limits for that wing and load at that airspeed? Don't the air particles still have farther to travel over that top surface?
And talk about pressure differential!! Picture a plane in extremely nose-high, mushing flight, just on the edge of a stall: the bottom of the wing has a much greater pressure buildup, thanks to increased ram-air pressure, and with the airflow starting to break up over the leading edge, causing turbulent air to spill away from that curved top, the low-pressure zone on that side is low indeed. .. the ratio of high to low pressure spreads out significantly...according to Bernoulli alone, the plane should now zoom backwards, still nose-high.
Right?
But we know it doesn't... it continues to mush, or descend despite application of power (RORC), or, unless A of
A is reduced, it stalls. Because without Coanda's fluid dynamics providing cohesion of airflow to the top surface, optimized by the correct A of
A for that airfoil at that loading at that airspeed (and with that aspect ratio) there is no downwash to demonstrate Newton's law.
Thus the extreme pressure differential alone becomes insufficient to produce enough lift to support the weight of the aircraft, because
air is no longer flowing in a coherent manner down and back off the top of the wing.
Conversely, you give me a plane with two flat pieces of plywood for wings, no camber at all, and with enough power and the right A of A I will make it fly. Guaranteed. It will fly better with a little hump on the top,
even if the bottom is concave and Bernoulli's little friends have only a few inches' difference in their journeys, but it will fly with perfectly flat wings, showing downwash
and acceleration over the top.
Sorry; couldn't help myself...
