Funny, just googling skating/skiing because, as a late-comer to shaped skis, it was just last week on Nordica hot rod nitrous ca 178 where I had a breakthrough moment during some quick turns off piste on hard pack, and I thought, this is just like ice skating turns.
I needed to reset for some strange terrain ahead, and I found myself suddenly making almost effortless and quick edge-to-edge short carved arcs -- almost fully from the hips. The turns were precise, silent, and entirely two edged, and very incomplete since quick, short arcs, that I could examine riding back up the chair. It felt like nothing more than quick ice skating turns -- and just as easily made. Knee action was only to fit the comma -- comma left, comma right, comma left, but the power and pivot was from the hips, which, unlike knee driving, seemed to automatically edge both skis about equally. Weight was centered just like on skates -- I can't imagine making this movement if either a bit back or forward. So much for my ability to describe technique. Anyway, I'm sure many of you know what I'm trying to describe.
So now I am impressed with the shaped skis. Learning how to make heavily banked, hand on the snow arcs on groomers has been fun -- the kind of thing you read about or see when people talk about the 'new' skis, but more of a side show and not really practical for all mountain skiing. These turns on the other hand were unlike anything I had ever felt on skis before and were very useful on hardpack. Now I just need to learn to do it as naturally on command. Seems like it will have to change for deep/soft snow.
As far as hockey goes, one of my old ski buddies learned to ski later than the rest of us, in 9th grade or so, but he was a hockey player and learned very quickly. It seemed to me his ability was primarily due to his lack of fear, strength, and balance, rather than any technical cross over. He didn't bother with carved turns or turning much at all for that matter during his first season -- I'd never seen anyone with less technique ski so fast.