That's just way to general a statement IMO. If that was true, every tank without CO2 would have BBA and that's not the case. What every tank has is organic waste and this needs to be kept in check especially if the plant uptake isn't there.
shouldve read the next line. light drives CO2 need. low light tanks need less CO2, if you have low enough light, ambient CO2 is enough and you dont need to supplement it.
that said, dissolved organics do tend to help most algae out; and good maintenance never hurt an aquarium.