Yup, Bernoulli doesn’t have much directly to do with aircraft lift – it’s not a closed system for a start*. What aircraft wings are, basically, are a shape that has a positive angle of attack for the least amount of drag.
If it was all about Bernoulli, aircraft wouldn’t be able to fly upside down.
(*the point of Bernoulli is, in a closed system like a pipe, the same number of atoms have to pass the same point in the same time. So they have to go faster and have fewer of them in a smaller pipe, so lower pressure)