Oh, I'm sure humber will soon produce a text-book reference saying that "towers can tack". And that "propellers gain efficiency through cross wind".
Well, I have asked you to prove what you say. Here is the diagram for the Newton argument. And what may be said about that, power and attack angle?
And pressure. Independent L/D ratios.
And the L/D ratio for small attack angles. Note the chart is normalised.
And why is the prop not now an airfoil? You do seem to be selective in the information you accept, dependent on the source.