I would agree that air traffic over a power plant will surely become
prohibited eventually with all the silly
security folks thinking up new risks every day.

For that reason alone I would support AOPA.

As for aircraft flying through man made thermals, there is a fear of
things they don't really know intimately
but still they don't want their coffee cups to be knocked over by a
sudden thermal surge.

As a glider pilot turbulence is a normal and acceptible flight regime
except when it exceeds your comfort level. (Rotor)

GA aircraft have a low comfort level for strong thermals and I would
think generally don't like them.

Ask a non pilot public how they like turbulence on an airline
flight....they have NO tolerance for turbulence.

Ray