Well I did, and it started me thinking—which is usually trouble.  But in this case it was anything but trouble.  It was startling!  I began to experiment with carved gybes leading with my inside (old back) foot.  Suddenly, no more stalls, spinouts, or bounceouts;   gybes were surprisingly sharper, faster, and easier.  Was this a better way to do and, therefore, teach carved gybes?  I’ll let you decide.

The difference between the ski and traditional carved gybes is that you switch your feet before turning through 6 o’clock.  So, instead of placing your back foot on the centerline between the footstraps, slide it at an angle into the front-leeward strap.  Then, immediately after allowing the sail to pull you forward and into the turn (step 3), slide your old front foot out of the strap and onto the centerline.  The gybe finishes with your choice of sail-flip.

The answer to your question, "Should I first learn this gybe or one of the traditional carved gybes?" is:  it depends.  If you’re working toward your first high-wind gybe and are proficient in the flare gybe, then the feet-first carved gybe is probably the one to first try.  But if you’re having trouble with that one and the others, or you’re a competent skier or skater, then give the ski gybe try;  it might feel more natural.

However, understand that it’s a high-wind—two footstraps’ worth—gybe in which you must aggressively lean forward and into the turn.  Personally, I usually use the step gybe if I can sail in only one footstrap and the ski gybe if I can sail in both.