yes, but that 'lost' energy comes out the budget that could have gone to moving your rotor / extraction device. The bookkeeping has to match:
100.0% - (total input power)
40.7% - (betz tax)
mechanical losses -
electrical losses
= output power of the windpower extraction device
you are maybe able to recoup a couple of % of mechanical losses but you might actually just decrease your output power by the same amount.
The only thing that I can think of that would get a pretty efficient mill closer to the betz limit is a form of co-generation where you recoup some of your electrical losses as heat.
It's a fairly well known phenomenon in car design that any 'springiness' in the frame or suspension directly increases the required amount of fuel, that's a zero sum game.
I'd be as happy as anybody else if you found a way to break betz or get a mill that can operate near theoretical efficiency but I'm not going to hold my breath, my expectation would be that if you would test that side-by-side with a 'regular' setup that you would see the 'improved' version give you roughly the same power but out of two outlets instead of one. (assuming you're going to modify a regular machine with an additional device to 'recoup' vibration losses).