I think the premise of Betz was the actual potential. Disturbed air will never become faster than the original straight-line windspeed without an external influence, so he's 100% correct in his reasoning. His limit is basically not limited by the influence of drag or lift, but rather mechanical advantages.
I think that eventually, maybe 200 hundred years from now, idk, someone with money is going to figure out a way to make a wind turbine somewhat like a huge turbo. Where they capture or harness a large volume of wind with a shroud or whatever, then run it through veins and have it come out in a vortex. At that point you are basically creating a small sideways cyclone, hurricane, dirt devil or whatever. Then you would be able to spin something extremely fast. You can slow it or brake it by making the veins variable, just like a new turbo. Now,can we build something that can mechanically handle spinning that fast on a scale that is useful in power generation? Well IDK, it would be a heck of an undertaking.
Remember power is related to how fast the turbine spins. Granted you may need a xformer that is 4160 down to 220 (for a home sized one) as you are going to be making some really high voltage spinning that fast. Which also brings up the "is this ok for the avg person to have" and the always more important "how do we make money from it"? The really high voltage idea is exactly what Tesla was working on. They shut that down really fast after he died and they went through his stuff.
Want to find out? Take the inducer wheel of a turbo charged engine and put a plate with magnets and a stator on that side of the turbo. Start it up and give it a little gas. You might want some high voltage test equipment handy. From there all you have to do is figure out the amount of exhaust gas you are driving the turbo with. You should have an idea or two pop into your head after that. @2000 rpm your gen could be spinning at a couple hundred thousand rpms.
Just do not go back to 1985 in a DeLorean and if you do try to remember where lighting struck. LOL
But Astro, exhaust gases are pressurized. Uh and so is steam. (hence steam turbines) Or you could run a air compressor from a large torque style mill. If the old wind mills could pump water up 100 ft. with large piston pumps, I would think one should be able to turn an air compressor.