Some early windparks used lattice towers, and some of those survive to the present but they are now known to be worse performance wise than tubular towers.
The profile of a hyperbolic wind tower may be altered such that the cross section at maximum height minus blade radius is at a minimum. The largely conical profile of the existing Shukhov towers were used for power transmission lines and a radio broadcast antenna.
Check this out: http://www.pbs.org/wgbh/nova/next/tech/proposed-hyperboloid-...
http://cache1.asset-cache.net/gc/78480146-crowley-ridge-wind...
Is one example of lattice towers in production that I know of (but not like the ones you describe and I have never seen those being used for windmills).
This is why is is sometimes difficult to avoid premature optimization, because post-maturity optimization tends not to happen, even when it may be warranted. I know of no wind farm anywhere that is used for side-by-side comparisons of wind turbine technologies. It would very likely have to be owned by a university and supported by public funds.
I have never seen a hyperboloid lattice or diagrid structure in person, but they are not entirely unheard of for shapes that do not require a lot of space efficiency in the tower portion, such as for lighthouses, observation decks, water towers, radio towers, etc.:
https://en.wikipedia.org/wiki/Adziogol_Lighthouse
https://en.wikipedia.org/wiki/Kobe_Port_Tower
https://en.wikipedia.org/wiki/File:Ciechanow_water_tower.jpg
https://en.wikipedia.org/wiki/Corporation_Street_Bridge
If you are a manufacturer though, you have all of the incentives to come up with something more efficient though. Wind turbines aren't controlled by a monopoly are they?
https://renewables.gepower.com/wind-energy/technology/space-...
Siemens has largely gone to a system where everything is in the nacelle. This way it makes it easier to completely test and connect the power electronics and control, since more of the work is done at the factory instead of in the field. Labor and equipment is much more expensive in the field than in the factory.
https://www.iscpc.org/images/gallery/Jacket_Foundations_EWE....