I think I'm going with Bud on this one. Jumping is OK like I said before, but I am bothered by TDK6' advice to "scout around" for good spots to turn. It's good to incorporate interesting terrain features into a line and fun to jump them. It smells like turn shopping the way TDK6 expresses it.
The description of lifting the knees to effect the "hop" sounds like it could be an exaggerated edge release on a flexion. I actually almost never "directly" teach this useful skill. I usually prefer to set my students up to do it in bumps through absorption and keeping the skis on the snow. I believe that PSIA would call it a "guided discovery" method. Change the DIRT on this move and you can be in the air on every turn. IMO this is still burning too much energy for the outcome and challenges balance unnecessarily on landing. It can also promote pressure management issues as I have mentioned in my earlier posts.
Bud, its correct that you dont need to hop other than when it is necessary. So when is it necessary and when is it not? I think that hopping your turns is a very important skill to posess and there really is no universal rule for when to do it and when not. As with everything else it can be performed well and not so well. A good hop involves platforming over both skis. The jump should be a two footed thing. Not a sequensial jump from downhill ski to uphill ski stemming and wedging. You should also try to jump so that as much of the upward movement as possible stays in your leggs. You lift your knees. Thats why Im always scouting for good spots to initiate my jump. I also jump straight up in the direction where the trees grow. I dont want to jump downhill. I also dont want to make a very big direction change, pivot, in the air. Just enough to land on new edges and sink my skiis into the snow with determination and conviction. Its really nothing more different than keeping your skis on the ground. Its actually the exact same thing except with more refined unweighting skills. Note that it is a more advanced way of skiing that allways remaining on snow. Also note that the less you jump the more refined your unweighting skills are. It takes one to know one.
Its not the same for everybody but I find it helpful when I ski crudd and difficult snow conditions. In conditions like braking crust its almost impossible to ski without jumping although Im sure many here will state otherwise. The added controll aspec lies in the edge change and the initiation of the steering angle. At that point you are the most voulnerable for uneven snow.