I only managed to find information of ozone on terrestrial plants, which doesn't seem to really do any favors. I'm not sure if this information also applies to aquatic plants tho.
"Ozone enters the plant’s leaves through its gas exchange pores (stomata), just as other atmospheric gases do in normal gas exchange. It dissolves in the water within the plant and reacts with other chemicals, causing a variety of problems. Plant physiologists are still trying to understand the specific pathways and locations of ozone’s effects within plant cells. Physiologists know that some cell membranes become leaky, possibly because of ozone’s ability to interact with lipid (fatty) components and/or membrane proteins. Photosynthesis slows, resulting in slower plant growth."
https://earthobservatory.nasa.gov/Features/OzoneWeBreathe/ozone_we_breathe3.php
I'm assuming that since water can only hold so much gas you would be better off just trying to saturate the water with more CO2 rather than O3, none of this will matter if your adding an unmeasurable amount of O3 tho.
Also if ozone works similarly to a UV sterilizer, killing microbes in the water to prevent stuff like green water and bacteria blooms, it shouldn't really be needed since green water and bacteria blooms will never happen after your tank establishes. If you haven't already tried Seachem Purigen, give that a shot, many people have great testimonials of it turning their water crystal clear,
you could probably just sell your ozone generator and buy 20 years worth of Purigen with it.