I understand and have experienced the sensation of taking a clean arc past the acceleration point, but to do so you need space, and a lot of it. Every time you point the tips down hill you're accelerating, and turning perpendicular to the fall line is not slowing your gained momentum without friction reducing your speed. This is physics.
Yes, for most skiers I recon that it would require a lot of space, true - that's why the big secret is getting the skis quickly past the fall line so they no longer point down, but engaged as early as possible. But simply standing on the ski after the fall line turns your down the hill momentum into lateral momentum. Let's say your linear speed of the ski doesn't slow down much, like a bucket spinning on a string, so you're no longer going down the hill, but sideways. The quicker you can get the skis to bounce from side to side, the slower you're moving down the hill, like a pinball that spends its time bouncing from side to side. The down the hill speed is the one that matters, methinks.
I think I like the pinball analogy, I think the first skier below paints that picture nicely, with the slow motion there to show there’s no slowing-by-skidding, he’s just bouncing from apex to apex and we can see the down the hill speed is quite slow in contrast to the energy:
The impulse, is not spread out more or less evenly over a long curve, it’s localized in a precise spot.
Granted, that’s not easy or common, I have a hard time following in those footsteps. Snow condition matters a lot too, this was hard snow but not stupid ice.
Going into physics, the snow compressing also slows you down (bouncing is not perfectly elastic). Being more forward also slows you down as the skis bend further ahead of your feet, adding to the resistance etc.