It has become quite fashionable among aviation management majors to poo-poo Bernoulli and insist we're all out there riding surfboards in the sky.
They never can quite explain, however, the effect spoilers have on lift - without changing the "downward deflection" of air at all!
Truth is - they're getting hung up on frame of reference. We all studied aero by sitting on the wingtip, as it were, and observing. Change your reference point to the ground, watching a plane fly by, and you have to use a whole different method to explain lift. Same song, just second verse.