Copper hydroxide is pretty water soluble and with our watering style, it wouldn't last long. It would also have the potential to turn the soil toxic, while plants love exploring the container wall before they branch..
My roots prune themselves if the pot gets a little dry, accidentally.
The problem with stuff like this is that most pot holes are in the center of the pot, so if it becomes soluble and drips down, it will turn the sides and the bottom of the pot into a toxic mess. Hydroxide is OH, oxygen and hydrogen, a pH increaser. Generally speaking, you never, ever want to use hydroxide in any soil.
Which reminds me of an awesome study by a NASA engineer who advocated for some silicium products on cannabis youtube channels. The release of silicium was pretty steady, but the soil had a pH increase of 8 points. Silicium is awesome, but no plants survive drain-cleaner-pH-levels above 14 (that is enough to dissolve a human body, including bones and teeth. Wood too.).
Cutting a plant out of a pot, and then coating the pot, and then putting the plant back, kind of skips over the part where the plant is already out of the pot and the roots can be pruned with a scissor in about a minute or two. Faster than it would take to dry a coating. Immediately after repotting, most plants don't require "long lasting root prunes", instead, they need to recover and explore especially the wall vicinity to know where it can bud/branch back those roots.
See the packaging of drain cleaner, I think it mentions not to use it on metals or on rock, because it can eat away rock sometimes. Or the tie-down wires.
I think this product would have its uses, but not in tiny clay or stone containers and not with the watering style and handling we do.
Nice find though! I might give it a try for my ornamental plants.