On the referenced website (below) there is no “empirical data”. There is “empirical correction” with a formula.
I asked a question about this statement, without any convincing answer on the topic in question:
Let @blimpyway prove his “theories” supposedly refuting the document entitled The Betz limit applied to Airborne Wind Energy and Betz’s law here and there and elsewhere. For that a peer-reviewed publication would be better than unnecessarily cluttering (to remain polite) the two topics in question: Betz limit and power available in the wind and the current topic entitled Power to space use ratio.
Now back to the topic.