I don't understand. Lithography, silkscreen (serigraph), etching and woodcuts are all traditional, hand made print mediums. With lith and silkscreens you COULD use a printer as an intermediate step (although half screen photo dot separation is the usual method), but it's usually not a part of the process. Maybe for students. At that point it's craft, or needs to be clearly labeled as a derivation from the accepted category to be displayed in a gallery, which I assume is the goal of anyone using these techniques.
All of these processes are considered hand made printing processes, although some people may quibble w/ the silkscreen method. Using a machine made printing process like an inkjet printer to lay a design on a lithographic or etching plate....why would you do that? You've removed the artist's hand at that point and it becomes something else. Art terms are quite rigid. A painting means one of, a print does not mean a photographic print unless it is clearly labeled so, a woodcut must be cut by hand on wood w/ hand tools and hand printed, etc. Anyway, that's how I see it and how I was trained. Giclee is just a $100 word for an inkjet print, which by definition is far from hand made, and unless you're a known famous artist isn't worth much intrinsically because a machine made it. Even a photogravure print must be clearly labeled as such. It is not an etching.