I don't doubt the Kutta Joukowski theorem.
The presence of circulation explains different velocities above and below the wing and by Bernoulli leads also to a difference in pressures. So there is no contradiction with the statement that it is the higher velocity above the wing which is responsible for lift as stated by MaxManus.
The amount of circulation is fixed by the Kutta condition. My point is that after the wing the velocity of the fluid elements passing above and below the wing at the line (or surface) where they meet has to be equal as pressure must be a continuous function.