The twisting does help with the change to the forward outside edge, which is an advanced skill.
I'm sure they can spin in the classic position, but if it's not worth extra points, they don't bother training to make the quality as high as possible, because it's more valuable to train for difficult variations. Which are usually considerably more difficult than doing the basic position at all, but not necessarily more difficult than doing the basic position with excellent quality.These days, very few people can spin in the classic positions. They train contorted positions that are often easier and look worse, yet it's worth more points. Go figure.
I.e., I think almost all skaters can do the basic position just fine, but very few bother to train it to a level of excellence that was more common in the days when there was no incentive to add difficult variations.
I would consider the twisted body position that Ando attains in the example link to be a contortion that adds to the difficulty, but she does it in a way that's attractive enough that Spun Silver chose it as an example of a "good" camel position.