I've never bought into the overly simplistic notion of looking ahead several turns and suspect many that say they do are not really doing quite so, especially when terrain becomes more difficult.
I make all manner of turn shapes on groomed terrain though more often make modest speed short and medium radius turns. And I tend to look at where I will be next turning during the falling thru compression phase of each turn. After I launch into the next turn, only then do I look to where I will be turning next since at that point my motion is already committed and seeing where I will be compressing into the current turn has little value while instead it is my body that will be feeling itself through that turn without need for visual input. At the same time I am most focused at looking at the following turn, I am also looking ahead though less focused as to what is coming up. Thus a kind of peripheral vision operating at the same time as where I am most focused at. All this noted, sometimes on groomed slopes I am not paying much visual attention to what is in front of me because I don't need to. The lower the slope gradient the more that is true while on steep winch cat groomed slopes am likely to be looking per above at snow surfaces of my next turn.
Now everyone has heard what comp mogul skiers say about looking 3 or 4 bumps ahead. They need to do that because they are scored on speed so and are going through bumps too quickly to look down at next turns. Also machine made mogul fall lines in this era are so consistent that well they don't need to be looking at much of anything and rather just using their body to feel through each turn while vision guides their general direction. But as a rec mogul skier I have absolutely no interest in going fast and rather work to maintain relaxed lower forces at modest to slower speeds. With rec moguls, the bump shapes and line varies greatly so I need to be looking at what's next then deal with it as I launch.
I want to make skiing bumps look smooth and fun flowing through efficiently. And per above am looking down at what the next turn offers while compressing down into the current trough or bump or smooth bump surface. And of course at the same time am aware beyond the next turn as I don't want to run into obstacles or people haha. Thursday moguls on Little Dipper (Heavenly), had grown rather large because it hasn't snowed in over a week now and that slope gets more local bump skiers each day than any other in the region due to the large population of South Lake Tahoe (40k). At one point in the afternoon I owned the biggest steep bumps right under the lift line few others chose and was highly focused on just the bump turn surfaces I was making turns on. Like I mentally was only aware of the good smooth spots to turn and little aware of all the bad uneven surfaces of each bump to turn on as I was synced into the rhythm of hitting every turn surface smoothly. And it is magic getting into that zone.
In fresh powder I tend to look a bit further ahead than the next turn because looking at the surface has little value since it is all soft and one's body reacts to the feeling not the visual while guiding one's route through trees, obstacles, and track free lines is important.
