What about in the situation like, say, Jack Green: Controversially on/about solar power.
i.e. Implying continuity (e.g. a series of articles about the same subject)
But that's not what controversially means.
The problem is that controversy occurs after the event. You can speak about something controversial (it's already widely spoken about). You can speak about something and cause a subsequent controversy, but you couldn't say "In our next four editions, Jack Green speaks controversially about solar power", because we don't whether it's going to be controversial or not yet.
"Last year, Jack Green wrote controversially about solar power in a series of articles in our magazine". That is possible.