I have never understood how a tank with healthy plants in nutrient laden water can have far less algae than a tank with zero nutrients in the water column. This is at the same time both true yet counterintuitive. Then I came across an article on plant allelopathy.
This concerns the process by which plants release chemicals that either benefit or inhibit the growth of their neighbors. Perhaps our healthy plants are somehow producing and releasing their own form of algaecide.
If you add active carbon or do large water change= no allelopathic chemicals, thus there's the control. See any evidence that using activeated carbon or doign large water changes somehow...induces algae blooms?
I, nor anyone else would suggest it does

So this is a very easy test many have already long done for well, decades......so that's been falsified, scratch that off the list. Research is very weak that it does have any effect with real whole live living plants.
Not ground up extracts...
Something will grow there.
Plants and algae can tell if someone else is "already there" growing.
So the algae can wait and germinate when the plants stop growing and start to die back, releasing nutrients BACK INTO THE SYSTEM AND ROT AND ALLOW THE LIGHT TO COME IN.
So poor/weak growth, + high light = algae, at least in natural systems.
If you remove all the plants, well, then you will get algae once again, as well.
It might be just a simple thing, algae do best when the plants are not.
So they(spores) wait.
Plants are mostly clonal in aquatic systems or buds etc.........so they do not have seeds typically for seasonal changes in permanent aquatic systems. They do not need them much.
Algae do need sexual stages to survive in most cases and compete.
Why do certain algae grow?
I mean do not algae compete amongst themselves?
Plants?
Why don't we have 10,000 species of algae then if it's all about nutrients?
This makes a weak argument, without some understanding of ecology, life histories and niches they occupy.
Same for plants.
Regards,
Tom Barr