Can all plants living in water be classified as algae?

On the shore of the reservoir there is a reed – a herbaceous plant and a reed, a genus – coastal aquatic plants. Such plants are attached to the bottom of the reservoir with roots, leaving a stem with leaves and flowers above the water.
Duckweed is a genus of flowering monocotyledonous plants, it completely tightens the water surface. Water lilies – also float on the surface of lakes and ponds.
And such as elodea, pemphigus, hornwort are completely submerged in water.
Such plants are called “aquatic plants”.