My DH had a hydroponic garden a couple of years ago. Photos and blog post about it here
. It was the most productive garden we've had so far, partly I think because it was in a shaded and protected area. It surprisingly did not use any more water than a garden in the ground (or raised beds), but there is the initial expense of the growing medium and set-up, and continuing expense of the nutrients to consider.
He got rid of all his supplies when we moved out of town onto an acre. We've got a container garden now, but in soil, with plans to put in raised beds over the winter for next year's garden. In some respects, I think the hydroponic set-up was a lot less labor - no digging, no building beds, no weeds, etc.
In regards to nutrition, I can't say, but hydroponically grown plants are supplied with nutrients so the plants should be taking those up just like they would out of the soil. I'm sure some online research would yield the answer.