When the angle of attack is increased does the air flowing below it slow down
In high alpha flight it is not uncommon to have compression below the wing, which would increase the pressure, and act in concert with the Bernoulli Effect on the top of the wing.  The effect on the underside of the wing could also correctly be called a form of Bernoulli Effect.

There need not be any compression on the underside for there to be lift on the top side of the wing.  However in higher angles of attack there is compression, which supplements the lift.