1. Scale, algae have a far far higher surface to area(SA) ratio than any plant.
A)
This means they have far surface relative to their biomass to take up nutrients. So they can scavenge for trace amounts very effectively.
B) As far as scale, a single to multi cell little algae, with a few micrograms of dry weight at most compared to a plant, maybe 1000-100000X more biomass is somehow going to be able to survive on less nutrients than the algae is silly.
Plants also have lots of other structures, support, architectures that require much more carbon than algae. It only takes a 1000% less biomass of algae to ruin a planted tank's look with an alga bloom.
It's like feeding livestock: trying to stave mice to fed your elephants.
If you look at Carbon, N, P requirements for algae limitations, chemostat studies, they are quite low. Algae are well studied, aquatic plants much less so. Still, we can see and infer much based on size alone(that does not change as many larger algae are plant sized).
Regards,
Tom Barr