You might want to read the actual news reporting cited on that page.
"Health complaints from people living around turbines shown to be psychological effect of anti-wind lobby making people worry"
It says the problem seems to be more prevalent where anti wind protests are pushed. Why then where they are not pushed, does the problem seem to exist?
They say if they were unhealthy, you should see problems at all of them, yet you don't. Well not all turbines are the same and some are very different, plus where they are located can be very different as well. Some turbines are really quiet and some are really loud. Some are higher pitched, some lower pitched. Some have a gearbox and some don't. I've been to wind farms where the closest home is 10 km away, at a much lower altitude where they wouldn't ever hear the turbines.
They also point out a farmer himself who has a bunch of turbines on his land, which he's getting paid well for, and he complains of noise related issues, not cancer related though. I don't doubt him. Working around the turbines I can tell you that some of my co workers, trustworthy people, experienced minor balance and directional issues and I saw it first hand. Oddly tripping over themselves often enough that it wasn't coincidence, driving in the wrong direction based on the project map not realizing it, etc. It wasn't a major problem by any means, but definitely was felt by more than a few of them, and it was only if we were within the job site and where the louder turbines were operational. For me, it was just annoying at times when we were under a turbine for hours when the wind was more than just a breeze yet still quiet and you could hear the blades "swoosh."
I also keep in contact with some local people I've met over the years at different site locations, and the one's who live around the louder turbines, have told me they still have sleep issues. One person has a couple turbines on their land and regrets it, the other who just lived around a couple of them, moved a few years after because they worked from home and said they had trouble thinking in general when they could hear the turbines. This is why I wouldn't rule anything out at the moment because the problem could be deeper than that possibly. Maybe, maybe not.
To the others who may be complaining for 'no reason', maybe they see wind turbines in the same way some people see guns or even hate speech. If a turbine hurts just one person, or animal, or if it's presence or sound cause some people mental harm, well.