If you only grow plants with externally-sourced nutrients, that is neither sustainable nor permaculture.
Though it may be more efficient to grow without soil; soil depletion isn't prevented by production processes that do not generate topsoil.
JADAM is a system developed by a chemicals engineer given what is observed to work in JNF/KNF. https://news.ycombinator.com/item?id=38527264
Where do soil amendments come from, and what would deplete those stocks (with consideration for soil depletion)?
(Also, there are extremely efficient ammonia/nitrogen fertilizer generators, but still then the algae due to runoff problem. FWIU we should we asks ng farmers to Please produce granulated fertilizer instead of liquid.)
The new biofuel subsidies require no-till farming practices; which other countries are further along at implementing (in or to prevent or reverse soil depletion).
Tilling turns topsoil to dirt due to loss of moisture, oxidation, and solar radiation.