An analog would be a car... Remember the Audi TT lift fiasco? Even at zero chord angle, a car can have dangerous lift, necessitating spoilers. It's not because air flows faster over the top of the car, but because of the angle of the sloping windshield and trunk. If it was Bernoulli, the little spoiler that they added to the trunk wouldn't have solved the issue.
Heck... if Bernoulli was that powerful, cars with air dams preventing much airflow underneath would lift off.