I do love it when "experts" debunk a theory and then don't bother to tell you what applies instead!
If I read it correctly, they seem to say "some Bernouli, some Newton and some other stuff". Sounds very much like what the RAF taught me 20+ years ago. Anyone who teaches combined Bernouli/Newton theory is close enough for the 10% "other stuff" not to matter.
It works - that's good enough. How many pilots design their own aeroplanes?