Angular Momentum does not really apply to a skier in a ski turn the way you are postulating. The reason is because the radial sphere you are thinking about (the turn shape), is not a single rotating body; its not a closed system.
At any given instant a skier actually has momentum that is a straight vector; but is harvesting centripetal forces to send them on a curved path, with a radius that is actually constantly changing, but this larger radial sphere is not a single body that is rotating. Its somewhat interesting to calculate angular velocity in terms of radians per second or whatever, but there is no rotating object with angular momentum, unless the skier is spinning as a single body.
Now if a skier begins to rotate themselves...then angular momentum is present because the skier body represents a closed system that now is rotating without being acted on by external forces.
For example, an ice skater making a turn does not really have any significant angular momentum. If that ice skater goes into a spin, then the straight line momentum they have becomes converted into angular momentum and they are then standing in place spinning. At that point they could move their hands in and out to slow down and speed up their angular velocity, but angular momentum is actually unchanged...it is preserved.
A skier in a ski turn is not a rotating body. If a skier takes a jump and starts rotating in the air, then angular momentum will be present. If a skier takes a crash and is cartwheeling, they'd have some angular momentum. But the ski turn shape does not represent a closed system, or single rotating object with angular momentum.