What type of growing media do you use and why? Is there a reason hydroponic growers use one versus another?
I mostly use the simplest possible medium, water. Sprouts in Rapid Rooters, then into netpots with hydroton. I've tried GrowStone instead of hydroton, and liked it less. I liked rockwool cubes less well than RRs. Now I'm trying a small grow in autopots (2 x 2.2 gal Easy2Grow version) with Growpito medium. The Growpito is interesting stuff made mostly from rockwool. When wet, it has the consistency of ground up wet laundry.
Everyone has their own preferences and this is why everyone prefers one over the other. It all depends what kind of growing best suits your needs.