There's a reason you haven't hears about it. The amount of reinforcing and waterproofing required to get that basement would be really expensive.

Greenhouses are heavy, and hydroponics uses water at 62 lbs per cubic foot. Compare that to potting soil.

If you need to replace storage and store water, a half-shed half-greenhouse design would work better. Keeping the tanks under the benches gets them out of the way.

As much of the water for the hydroponics as possible would be in the basement....that would be one of its main purposes, to store water for heat, for hydroponics and for a liquid bubble insulation system, eventually.