I think this is true. I am on well water and in a very sunny location. Algae grows like crazy in my waterers -- so much so that it became an exercise in futility in trying to eliminate it. I found I could reduce algae growth substantially, by using a galvanized waterer placed inside the coop or in a very, highly shaded overhang area.not all algae are created equal though.
However, the algae free water smelled awful after just one day. The waterers with green algae in them smelled fresh and clean, even after a few days and the chickens preferred drinking out of them. I do make sure the tray part is kept clean and free from dirt/droppings and rinse out the entire container ever time I fill them. After over 8 years of algae in the water and healthy chickens, I've stopped worrying about it.
If you are bothered by algae, or think that the type of algae that grows where you live might be harmful, a fairly easy way to keep clean water is to buy a rubber or plastic water bowl, that can be cleaned and refreshed daily. I use bowls in the summer when I am putting out extra watering stations. Because they are so much easier to scrub out then conventional waterers, it's pretty easy to keep the algae out. However they do get more dirt/leaves/etc kicked into them, so there is more dumping and refilling involved.