Obviously, everything here is grossly simplified.
I'm not claiming the tiny amount of maths here is useful for modelling reality and would be extremely surprised if it is! Nor am I claiming the lift producing mechanism of a real wing works in this way (presumably, it works better).
However, I am claiming that by working with a veryan extremely simplified model, you can see thatthat an airplane's wings achieve something that thrust alone does not. They provide an extremely "cheap" source of lift that would otherwise require much more of the thrust to be diverted downwards.
I believe this wouldmust similarly apply for real aircraft. Further support that cheap lift is available comes from engineless gliders, parachutes, and sycamore leaves.