They will control it, and VERY well...Tilapia reduce the net available nutrient load in waters they are stocked in, by moving the nutrient up the food chain, not increasing it....Tilapia also reduce the organic muck and sludge in a pond. In fact, Tilapia are fast becoming a viable and far safer alternative to algaecides in many market areas. Prices for tilapia are similar to the chemical costs...and no manual labor involved.
Any chemical can kill a plant, yet there is no reduction in nutrien, merely a recycling of it through decay....plus the hope and a prayer that some plant other than algae takes up the recycled nutrient.