I wish we could just remove the word 'chemicals' from the English language. Most of the time it's used, it doesn't mean anything at all.
What is actually used? Fertiliser, Nitrogen, Phosphorus, Potassium, not some scary poisons and 'chemicals'.
Do they need to be disposed of? Not really, plants use them up. If you are disposing of them, you are disposing of your money, because you paid for them.
The whole point of these greenhouse or vertial systems is that they are closed off, so you don't have runoff like you do in the open field, and you don't need pesticides because pests don't get in.
There are 99 problems with this 'tech bro' solution, but chemicals is not one of them.