Yes! you almost got it. You just have to tie it together. The skis want to rebound at 90 degrees to the direction of the bend...but this is NOT the direction of the original force. Remember, the ski is turning and on edge so that direction is constantly changing. When the ski is facing down the fall line, the tops of the skis face the inside of the turn. If you unload the skis right now, it will try to shoot across the hill. This is the thing we want to take advantage of!
Remember, in high speed dynamic turns, the skis are most loaded when facing the fall line...and that or slightly after that is when the energy is released. At low levels of skiing, this happens much later (skiers rely on gravity to generate the force/bend rather than high speed turns), so it's hard to get the acceleration and pop. The better the skier, the earlier that skier can get edge pressure early in the turn so it can be released across the hill rather than up the hill (if the release happens way after fall line).
Let's simplify as much as possible...skis are facing directly down the fall line and bent. The instantaneous velocity of those skis at this point is also directly down the fall line. They are on super high edge angle so the skis want to rebound 90 degrees across the hill. The racer releases the energy at this point. The rebound acts as a pushing force across the hill. Because the ski still has momentum to go down the hill, it ends up going lets just say 45 degrees to the fall line. The skier allows this to happen and makes sure the skis stay pointed in the direction of travel...the acceleration of the skis drag the body with it across and down the hill and the turn starts all over. The final result is skier going faster both across the hill (to make the next gate) and down the hill to the finish line.
I alsow want to point out that muscle movements can also be used to help direct the rebound energy forward even on a flat hill. If the ski unloads with a dead weight on it, then it would just pop up and not move forward. If you put a person on it that knows what they're doing. Then they can direct that energy to drive the body forward...the end result is actually the body going forward and pulling the skis along.
Finally, even without all that, as long as energy is introduced into the system, regardless of the direction of that energy, we can use movements of the body to redirect that energy somehow. Think about a person sitting on a swing with no one to push them. Yet, just by using muscles of the body, we can get the swing to go higher and higher without ever pushing off against anything. This is the power of the human body.
How? How is this energy released? What move is made?
Hint: you have a bent ski which does have some energy in it. When the ski returns to its orginal shape, that energy is fully "restored"...at what point in the turn does the ski return to its original shape? How long does it take to get there..ie at what part of the turn does the energy start to be restored, and at what point is it fully restored? Is this instantenous...or does it happen progressivley over a part of the turn? Have a look at some race montages...
Second Hint (just a point of clarification): Do you understand that the skis accelerate and decelerate...yet their speed never changes? And how this is possible? Question: If a car goes around a track, (so the start and finish line, are the same line), and the track is 60miles around, it took him one hour to do? What was his average velocity? What was his average speed?